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Finding the Fourth Proportional to 102,875.96, 141,928.26 and 64,613

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Solution

The fourth proportional to 102,875.96, 141,928.26 and 64,613 is: 89,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,875.96 : 141,928.26 = 64,613 : x
  2. Step 2: Convert to fraction form
    102,875.96/141,928.26 = 64,613/x
  3. Step 3: Cross multiply
    102,875.96x = 141,928.26 × 64,613
  4. Step 4: Simplify right side
    102,875.96x = 9,170,410,663.38
  5. Step 5: Solve for x
    x = 9,170,410,663.38/102,875.96
  6. Step 6: Final answer
    x = 89,140.46

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Why These Related Problems?

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