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Finding the Fourth Proportional to 142,765.74, 214,159.14 and 37,584

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Solution

The fourth proportional to 142,765.74, 214,159.14 and 37,584 is: 56,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.74 : 214,159.14 = 37,584 : x
  2. Step 2: Convert to fraction form
    142,765.74/214,159.14 = 37,584/x
  3. Step 3: Cross multiply
    142,765.74x = 214,159.14 × 37,584
  4. Step 4: Simplify right side
    142,765.74x = 8,048,957,117.76
  5. Step 5: Solve for x
    x = 8,048,957,117.76/142,765.74
  6. Step 6: Final answer
    x = 56,378.77

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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.