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Finding the Fourth Proportional to 142,347, 196,437.42 and 78,681.72

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Solution

The fourth proportional to 142,347, 196,437.42 and 78,681.72 is: 108,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,347 : 196,437.42 = 78,681.72 : x
  2. Step 2: Convert to fraction form
    142,347/196,437.42 = 78,681.72/x
  3. Step 3: Cross multiply
    142,347x = 196,437.42 × 78,681.72
  4. Step 4: Simplify right side
    142,347x = 15,456,034,077.96
  5. Step 5: Solve for x
    x = 15,456,034,077.96/142,347
  6. Step 6: Final answer
    x = 108,579.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.