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Finding the Fourth Proportional to 178,459.81, 246,270.31 and 97,886.61

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Solution

The fourth proportional to 178,459.81, 246,270.31 and 97,886.61 is: 135,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,459.81 : 246,270.31 = 97,886.61 : x
  2. Step 2: Convert to fraction form
    178,459.81/246,270.31 = 97,886.61/x
  3. Step 3: Cross multiply
    178,459.81x = 246,270.31 × 97,886.61
  4. Step 4: Simplify right side
    178,459.81x = 24,106,565,544.83
  5. Step 5: Solve for x
    x = 24,106,565,544.83/178,459.81
  6. Step 6: Final answer
    x = 135,081.20

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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.