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Finding the Fourth Proportional to 152,006.15, 209,768.54 and 83,095.92

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Solution

The fourth proportional to 152,006.15, 209,768.54 and 83,095.92 is: 114,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.15 : 209,768.54 = 83,095.92 : x
  2. Step 2: Convert to fraction form
    152,006.15/209,768.54 = 83,095.92/x
  3. Step 3: Cross multiply
    152,006.15x = 209,768.54 × 83,095.92
  4. Step 4: Simplify right side
    152,006.15x = 17,430,909,261.79
  5. Step 5: Solve for x
    x = 17,430,909,261.79/152,006.15
  6. Step 6: Final answer
    x = 114,672.39

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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.