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Finding the Fourth Proportional to 178,875.40, 246,871.38 and 115,397.77

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Solution

The fourth proportional to 178,875.40, 246,871.38 and 115,397.77 is: 159,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,875.40 : 246,871.38 = 115,397.77 : x
  2. Step 2: Convert to fraction form
    178,875.40/246,871.38 = 115,397.77/x
  3. Step 3: Cross multiply
    178,875.40x = 246,871.38 × 115,397.77
  4. Step 4: Simplify right side
    178,875.40x = 28,488,406,728.82
  5. Step 5: Solve for x
    x = 28,488,406,728.82/178,875.40
  6. Step 6: Final answer
    x = 159,263.97

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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.