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Finding the Fourth Proportional to 162,824.45, 224,807.40 and 101,663.78

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Solution

The fourth proportional to 162,824.45, 224,807.40 and 101,663.78 is: 140,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,824.45 : 224,807.40 = 101,663.78 : x
  2. Step 2: Convert to fraction form
    162,824.45/224,807.40 = 101,663.78/x
  3. Step 3: Cross multiply
    162,824.45x = 224,807.40 × 101,663.78
  4. Step 4: Simplify right side
    162,824.45x = 22,854,768,931.94
  5. Step 5: Solve for x
    x = 22,854,768,931.94/162,824.45
  6. Step 6: Final answer
    x = 140,364.48

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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.