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Finding the Fourth Proportional to 301,755.16, 452,632.13 and 77,115.57

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Solution

The fourth proportional to 301,755.16, 452,632.13 and 77,115.57 is: 115,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,755.16 : 452,632.13 = 77,115.57 : x
  2. Step 2: Convert to fraction form
    301,755.16/452,632.13 = 77,115.57/x
  3. Step 3: Cross multiply
    301,755.16x = 452,632.13 × 77,115.57
  4. Step 4: Simplify right side
    301,755.16x = 34,904,984,705.26
  5. Step 5: Solve for x
    x = 34,904,984,705.26/301,755.16
  6. Step 6: Final answer
    x = 115,673.20

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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.