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Finding the Fourth Proportional to 210,148.84, 314,808.54 and 157,617.64

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Solution

The fourth proportional to 210,148.84, 314,808.54 and 157,617.64 is: 236,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,148.84 : 314,808.54 = 157,617.64 : x
  2. Step 2: Convert to fraction form
    210,148.84/314,808.54 = 157,617.64/x
  3. Step 3: Cross multiply
    210,148.84x = 314,808.54 × 157,617.64
  4. Step 4: Simplify right side
    210,148.84x = 49,619,379,126.65
  5. Step 5: Solve for x
    x = 49,619,379,126.65/210,148.84
  6. Step 6: Final answer
    x = 236,115.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.