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Finding the Fourth Proportional to 142,473.40, 213,710.10 and 59,356.60

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Solution

The fourth proportional to 142,473.40, 213,710.10 and 59,356.60 is: 89,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,473.40 : 213,710.10 = 59,356.60 : x
  2. Step 2: Convert to fraction form
    142,473.40/213,710.10 = 59,356.60/x
  3. Step 3: Cross multiply
    142,473.40x = 213,710.10 × 59,356.60
  4. Step 4: Simplify right side
    142,473.40x = 12,685,104,921.66
  5. Step 5: Solve for x
    x = 12,685,104,921.66/142,473.40
  6. Step 6: Final answer
    x = 89,034.90

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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.