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Finding the Fourth Proportional to 153,657.50, 212,047.36 and 83,001.50

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Solution

The fourth proportional to 153,657.50, 212,047.36 and 83,001.50 is: 114,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657.50 : 212,047.36 = 83,001.50 : x
  2. Step 2: Convert to fraction form
    153,657.50/212,047.36 = 83,001.50/x
  3. Step 3: Cross multiply
    153,657.50x = 212,047.36 × 83,001.50
  4. Step 4: Simplify right side
    153,657.50x = 17,600,248,951.04
  5. Step 5: Solve for x
    x = 17,600,248,951.04/153,657.50
  6. Step 6: Final answer
    x = 114,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.