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Finding the Fourth Proportional to 232,897.60, 349,420.26 and 83,134.60

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Solution

The fourth proportional to 232,897.60, 349,420.26 and 83,134.60 is: 124,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,897.60 : 349,420.26 = 83,134.60 : x
  2. Step 2: Convert to fraction form
    232,897.60/349,420.26 = 83,134.60/x
  3. Step 3: Cross multiply
    232,897.60x = 349,420.26 × 83,134.60
  4. Step 4: Simplify right side
    232,897.60x = 29,048,913,547.00
  5. Step 5: Solve for x
    x = 29,048,913,547.00/232,897.60
  6. Step 6: Final answer
    x = 124,728.26

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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.