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Finding the Fourth Proportional to 152,872.74, 210,957.29 and 84,894.02

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Solution

The fourth proportional to 152,872.74, 210,957.29 and 84,894.02 is: 117,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,872.74 : 210,957.29 = 84,894.02 : x
  2. Step 2: Convert to fraction form
    152,872.74/210,957.29 = 84,894.02/x
  3. Step 3: Cross multiply
    152,872.74x = 210,957.29 × 84,894.02
  4. Step 4: Simplify right side
    152,872.74x = 17,909,012,974.46
  5. Step 5: Solve for x
    x = 17,909,012,974.46/152,872.74
  6. Step 6: Final answer
    x = 117,149.81

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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.