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Finding the Fourth Proportional to 150,176.40, 224,681.40 and 97,688.40

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Solution

The fourth proportional to 150,176.40, 224,681.40 and 97,688.40 is: 146,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,176.40 : 224,681.40 = 97,688.40 : x
  2. Step 2: Convert to fraction form
    150,176.40/224,681.40 = 97,688.40/x
  3. Step 3: Cross multiply
    150,176.40x = 224,681.40 × 97,688.40
  4. Step 4: Simplify right side
    150,176.40x = 21,948,766,475.76
  5. Step 5: Solve for x
    x = 21,948,766,475.76/150,176.40
  6. Step 6: Final answer
    x = 146,153.23

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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.