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Finding the Fourth Proportional to 152,816.80, 229,030.80 and 136,098.40

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Solution

The fourth proportional to 152,816.80, 229,030.80 and 136,098.40 is: 203,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,816.80 : 229,030.80 = 136,098.40 : x
  2. Step 2: Convert to fraction form
    152,816.80/229,030.80 = 136,098.40/x
  3. Step 3: Cross multiply
    152,816.80x = 229,030.80 × 136,098.40
  4. Step 4: Simplify right side
    152,816.80x = 31,170,725,430.72
  5. Step 5: Solve for x
    x = 31,170,725,430.72/152,816.80
  6. Step 6: Final answer
    x = 203,974.47

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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.