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Finding the Fourth Proportional to 186,897.68, 280,343.88 and 87,002

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Solution

The fourth proportional to 186,897.68, 280,343.88 and 87,002 is: 130,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897.68 : 280,343.88 = 87,002 : x
  2. Step 2: Convert to fraction form
    186,897.68/280,343.88 = 87,002/x
  3. Step 3: Cross multiply
    186,897.68x = 280,343.88 × 87,002
  4. Step 4: Simplify right side
    186,897.68x = 24,390,478,247.76
  5. Step 5: Solve for x
    x = 24,390,478,247.76/186,897.68
  6. Step 6: Final answer
    x = 130,501.77

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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.