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Finding the Fourth Proportional to 133,497.84, 200,059.84 and 88,572

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Solution

The fourth proportional to 133,497.84, 200,059.84 and 88,572 is: 132,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,497.84 : 200,059.84 = 88,572 : x
  2. Step 2: Convert to fraction form
    133,497.84/200,059.84 = 88,572/x
  3. Step 3: Cross multiply
    133,497.84x = 200,059.84 × 88,572
  4. Step 4: Simplify right side
    133,497.84x = 17,719,700,148.48
  5. Step 5: Solve for x
    x = 17,719,700,148.48/133,497.84
  6. Step 6: Final answer
    x = 132,733.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.