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Finding the Fourth Proportional to 310,710.96, 466,076.76 and 86,073.66

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Solution

The fourth proportional to 310,710.96, 466,076.76 and 86,073.66 is: 129,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,710.96 : 466,076.76 = 86,073.66 : x
  2. Step 2: Convert to fraction form
    310,710.96/466,076.76 = 86,073.66/x
  3. Step 3: Cross multiply
    310,710.96x = 466,076.76 × 86,073.66
  4. Step 4: Simplify right side
    310,710.96x = 40,116,932,574.14
  5. Step 5: Solve for x
    x = 40,116,932,574.14/310,710.96
  6. Step 6: Final answer
    x = 129,113.35

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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.