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Finding the Fourth Proportional to 176,280.76, 264,158.56 and 97,417.52

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Solution

The fourth proportional to 176,280.76, 264,158.56 and 97,417.52 is: 145,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,280.76 : 264,158.56 = 97,417.52 : x
  2. Step 2: Convert to fraction form
    176,280.76/264,158.56 = 97,417.52/x
  3. Step 3: Cross multiply
    176,280.76x = 264,158.56 × 97,417.52
  4. Step 4: Simplify right side
    176,280.76x = 25,733,671,801.97
  5. Step 5: Solve for x
    x = 25,733,671,801.97/176,280.76
  6. Step 6: Final answer
    x = 145,981.17

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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.