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Finding the Fourth Proportional to 232,897.40, 349,115.70 and 114,471.80

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Solution

The fourth proportional to 232,897.40, 349,115.70 and 114,471.80 is: 171,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,897.40 : 349,115.70 = 114,471.80 : x
  2. Step 2: Convert to fraction form
    232,897.40/349,115.70 = 114,471.80/x
  3. Step 3: Cross multiply
    232,897.40x = 349,115.70 × 114,471.80
  4. Step 4: Simplify right side
    232,897.40x = 39,963,902,587.26
  5. Step 5: Solve for x
    x = 39,963,902,587.26/232,897.40
  6. Step 6: Final answer
    x = 171,594.46

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