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Finding the Fourth Proportional to 310,754.14, 466,154.70 and 86,111.98

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Solution

The fourth proportional to 310,754.14, 466,154.70 and 86,111.98 is: 129,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,754.14 : 466,154.70 = 86,111.98 : x
  2. Step 2: Convert to fraction form
    310,754.14/466,154.70 = 86,111.98/x
  3. Step 3: Cross multiply
    310,754.14x = 466,154.70 × 86,111.98
  4. Step 4: Simplify right side
    310,754.14x = 40,141,502,715.00
  5. Step 5: Solve for x
    x = 40,141,502,715.00/310,754.14
  6. Step 6: Final answer
    x = 129,174.48

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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.