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Finding the Fourth Proportional to 142,352, 196,444.32 and 78,686.72

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Solution

The fourth proportional to 142,352, 196,444.32 and 78,686.72 is: 108,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352 : 196,444.32 = 78,686.72 : x
  2. Step 2: Convert to fraction form
    142,352/196,444.32 = 78,686.72/x
  3. Step 3: Cross multiply
    142,352x = 196,444.32 × 78,686.72
  4. Step 4: Simplify right side
    142,352x = 15,457,559,203.43
  5. Step 5: Solve for x
    x = 15,457,559,203.43/142,352
  6. Step 6: Final answer
    x = 108,586.88

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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.