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Finding the Fourth Proportional to 232,432.80, 348,746.40 and 74,709.60

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Solution

The fourth proportional to 232,432.80, 348,746.40 and 74,709.60 is: 112,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,432.80 : 348,746.40 = 74,709.60 : x
  2. Step 2: Convert to fraction form
    232,432.80/348,746.40 = 74,709.60/x
  3. Step 3: Cross multiply
    232,432.80x = 348,746.40 × 74,709.60
  4. Step 4: Simplify right side
    232,432.80x = 26,054,704,045.44
  5. Step 5: Solve for x
    x = 26,054,704,045.44/232,432.80
  6. Step 6: Final answer
    x = 112,095.64

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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.