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Finding the Fourth Proportional to 119,570, 165,006.60 and 69,298.16

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Solution

The fourth proportional to 119,570, 165,006.60 and 69,298.16 is: 95,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,570 : 165,006.60 = 69,298.16 : x
  2. Step 2: Convert to fraction form
    119,570/165,006.60 = 69,298.16/x
  3. Step 3: Cross multiply
    119,570x = 165,006.60 × 69,298.16
  4. Step 4: Simplify right side
    119,570x = 11,434,653,767.86
  5. Step 5: Solve for x
    x = 11,434,653,767.86/119,570
  6. Step 6: Final answer
    x = 95,631.46

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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.