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Finding the Fourth Proportional to 176,476.70, 264,715.05 and 101,827.10

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Solution

The fourth proportional to 176,476.70, 264,715.05 and 101,827.10 is: 152,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,476.70 : 264,715.05 = 101,827.10 : x
  2. Step 2: Convert to fraction form
    176,476.70/264,715.05 = 101,827.10/x
  3. Step 3: Cross multiply
    176,476.70x = 264,715.05 × 101,827.10
  4. Step 4: Simplify right side
    176,476.70x = 26,955,165,867.86
  5. Step 5: Solve for x
    x = 26,955,165,867.86/176,476.70
  6. Step 6: Final answer
    x = 152,740.65

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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.