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Finding the Fourth Proportional to 153,014.50, 229,534.71 and 42,206.50

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Solution

The fourth proportional to 153,014.50, 229,534.71 and 42,206.50 is: 63,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,014.50 : 229,534.71 = 42,206.50 : x
  2. Step 2: Convert to fraction form
    153,014.50/229,534.71 = 42,206.50/x
  3. Step 3: Cross multiply
    153,014.50x = 229,534.71 × 42,206.50
  4. Step 4: Simplify right side
    153,014.50x = 9,687,856,737.62
  5. Step 5: Solve for x
    x = 9,687,856,737.62/153,014.50
  6. Step 6: Final answer
    x = 63,313.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.