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Finding the Fourth Proportional to 142,334.94, 213,364.17 and 59,252.70

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Solution

The fourth proportional to 142,334.94, 213,364.17 and 59,252.70 is: 88,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,334.94 : 213,364.17 = 59,252.70 : x
  2. Step 2: Convert to fraction form
    142,334.94/213,364.17 = 59,252.70/x
  3. Step 3: Cross multiply
    142,334.94x = 213,364.17 × 59,252.70
  4. Step 4: Simplify right side
    142,334.94x = 12,642,403,155.76
  5. Step 5: Solve for x
    x = 12,642,403,155.76/142,334.94
  6. Step 6: Final answer
    x = 88,821.50

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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.