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Finding the Fourth Proportional to 232,034.40, 348,051.60 and 152,200.80

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Solution

The fourth proportional to 232,034.40, 348,051.60 and 152,200.80 is: 228,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,034.40 : 348,051.60 = 152,200.80 : x
  2. Step 2: Convert to fraction form
    232,034.40/348,051.60 = 152,200.80/x
  3. Step 3: Cross multiply
    232,034.40x = 348,051.60 × 152,200.80
  4. Step 4: Simplify right side
    232,034.40x = 52,973,731,961.28
  5. Step 5: Solve for x
    x = 52,973,731,961.28/232,034.40
  6. Step 6: Final answer
    x = 228,301.20

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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.