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Finding the Fourth Proportional to 178,905, 246,889.38 and 99,417

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Solution

The fourth proportional to 178,905, 246,889.38 and 99,417 is: 137,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,905 : 246,889.38 = 99,417 : x
  2. Step 2: Convert to fraction form
    178,905/246,889.38 = 99,417/x
  3. Step 3: Cross multiply
    178,905x = 246,889.38 × 99,417
  4. Step 4: Simplify right side
    178,905x = 24,545,001,491.46
  5. Step 5: Solve for x
    x = 24,545,001,491.46/178,905
  6. Step 6: Final answer
    x = 137,195.73

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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.