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Finding the Fourth Proportional to 232,070.76, 348,111 and 74,298.76

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Solution

The fourth proportional to 232,070.76, 348,111 and 74,298.76 is: 111,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,070.76 : 348,111 = 74,298.76 : x
  2. Step 2: Convert to fraction form
    232,070.76/348,111 = 74,298.76/x
  3. Step 3: Cross multiply
    232,070.76x = 348,111 × 74,298.76
  4. Step 4: Simplify right side
    232,070.76x = 25,864,214,772.08
  5. Step 5: Solve for x
    x = 25,864,214,772.08/232,070.76
  6. Step 6: Final answer
    x = 111,449.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.