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Finding the Fourth Proportional to 162,824.20, 224,807.04 and 101,663.51

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Solution

The fourth proportional to 162,824.20, 224,807.04 and 101,663.51 is: 140,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,824.20 : 224,807.04 = 101,663.51 : x
  2. Step 2: Convert to fraction form
    162,824.20/224,807.04 = 101,663.51/x
  3. Step 3: Cross multiply
    162,824.20x = 224,807.04 × 101,663.51
  4. Step 4: Simplify right side
    162,824.20x = 22,854,672,759.11
  5. Step 5: Solve for x
    x = 22,854,672,759.11/162,824.20
  6. Step 6: Final answer
    x = 140,364.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.