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Finding the Fourth Proportional to 194,482.60, 291,723.90 and 164,415.40

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Solution

The fourth proportional to 194,482.60, 291,723.90 and 164,415.40 is: 246,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,482.60 : 291,723.90 = 164,415.40 : x
  2. Step 2: Convert to fraction form
    194,482.60/291,723.90 = 164,415.40/x
  3. Step 3: Cross multiply
    194,482.60x = 291,723.90 × 164,415.40
  4. Step 4: Simplify right side
    194,482.60x = 47,963,901,708.06
  5. Step 5: Solve for x
    x = 47,963,901,708.06/194,482.60
  6. Step 6: Final answer
    x = 246,623.10

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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.