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Finding the Fourth Proportional to 116,768, 161,140.48 and 63,776

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Solution

The fourth proportional to 116,768, 161,140.48 and 63,776 is: 88,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,768 : 161,140.48 = 63,776 : x
  2. Step 2: Convert to fraction form
    116,768/161,140.48 = 63,776/x
  3. Step 3: Cross multiply
    116,768x = 161,140.48 × 63,776
  4. Step 4: Simplify right side
    116,768x = 10,276,895,252.48
  5. Step 5: Solve for x
    x = 10,276,895,252.48/116,768
  6. Step 6: Final answer
    x = 88,011.23

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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.