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Finding the Fourth Proportional to 116,158.29, 160,354.75 and 77,903.87

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Solution

The fourth proportional to 116,158.29, 160,354.75 and 77,903.87 is: 107,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,158.29 : 160,354.75 = 77,903.87 : x
  2. Step 2: Convert to fraction form
    116,158.29/160,354.75 = 77,903.87/x
  3. Step 3: Cross multiply
    116,158.29x = 160,354.75 × 77,903.87
  4. Step 4: Simplify right side
    116,158.29x = 12,492,254,893.49
  5. Step 5: Solve for x
    x = 12,492,254,893.49/116,158.29
  6. Step 6: Final answer
    x = 107,545.10

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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.