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Finding the Fourth Proportional to 106,539.96, 147,038.70 and 64,121.40

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Solution

The fourth proportional to 106,539.96, 147,038.70 and 64,121.40 is: 88,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539.96 : 147,038.70 = 64,121.40 : x
  2. Step 2: Convert to fraction form
    106,539.96/147,038.70 = 64,121.40/x
  3. Step 3: Cross multiply
    106,539.96x = 147,038.70 × 64,121.40
  4. Step 4: Simplify right side
    106,539.96x = 9,428,327,298.18
  5. Step 5: Solve for x
    x = 9,428,327,298.18/106,539.96
  6. Step 6: Final answer
    x = 88,495.69

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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.