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Finding the Fourth Proportional to 176,214.28, 243,106.50 and 100,722.28

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Solution

The fourth proportional to 176,214.28, 243,106.50 and 100,722.28 is: 138,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,214.28 : 243,106.50 = 100,722.28 : x
  2. Step 2: Convert to fraction form
    176,214.28/243,106.50 = 100,722.28/x
  3. Step 3: Cross multiply
    176,214.28x = 243,106.50 × 100,722.28
  4. Step 4: Simplify right side
    176,214.28x = 24,486,240,962.82
  5. Step 5: Solve for x
    x = 24,486,240,962.82/176,214.28
  6. Step 6: Final answer
    x = 138,957.19

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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.