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Finding the Fourth Proportional to 161,755.70, 242,547.15 and 56,578.10

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Solution

The fourth proportional to 161,755.70, 242,547.15 and 56,578.10 is: 84,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,755.70 : 242,547.15 = 56,578.10 : x
  2. Step 2: Convert to fraction form
    161,755.70/242,547.15 = 56,578.10/x
  3. Step 3: Cross multiply
    161,755.70x = 242,547.15 × 56,578.10
  4. Step 4: Simplify right side
    161,755.70x = 13,722,856,907.42
  5. Step 5: Solve for x
    x = 13,722,856,907.42/161,755.70
  6. Step 6: Final answer
    x = 84,836.93

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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.