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Finding the Fourth Proportional to 214,423.44, 295,807.32 and 133,870.83

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Solution

The fourth proportional to 214,423.44, 295,807.32 and 133,870.83 is: 184,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,423.44 : 295,807.32 = 133,870.83 : x
  2. Step 2: Convert to fraction form
    214,423.44/295,807.32 = 133,870.83/x
  3. Step 3: Cross multiply
    214,423.44x = 295,807.32 × 133,870.83
  4. Step 4: Simplify right side
    214,423.44x = 39,599,971,448.48
  5. Step 5: Solve for x
    x = 39,599,971,448.48/214,423.44
  6. Step 6: Final answer
    x = 184,681.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.