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Finding the Fourth Proportional to 178,164.81, 245,854.10 and 101,681.78

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Solution

The fourth proportional to 178,164.81, 245,854.10 and 101,681.78 is: 140,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.81 : 245,854.10 = 101,681.78 : x
  2. Step 2: Convert to fraction form
    178,164.81/245,854.10 = 101,681.78/x
  3. Step 3: Cross multiply
    178,164.81x = 245,854.10 × 101,681.78
  4. Step 4: Simplify right side
    178,164.81x = 24,998,881,533.23
  5. Step 5: Solve for x
    x = 24,998,881,533.23/178,164.81
  6. Step 6: Final answer
    x = 140,313.24

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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.