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Finding the Fourth Proportional to 176,783.82, 243,967.10 and 100,306.10

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Solution

The fourth proportional to 176,783.82, 243,967.10 and 100,306.10 is: 138,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,783.82 : 243,967.10 = 100,306.10 : x
  2. Step 2: Convert to fraction form
    176,783.82/243,967.10 = 100,306.10/x
  3. Step 3: Cross multiply
    176,783.82x = 243,967.10 × 100,306.10
  4. Step 4: Simplify right side
    176,783.82x = 24,471,386,607.94
  5. Step 5: Solve for x
    x = 24,471,386,607.94/176,783.82
  6. Step 6: Final answer
    x = 138,425.49

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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.