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Finding the Fourth Proportional to 151,957.93, 209,701.42 and 83,973.01

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Solution

The fourth proportional to 151,957.93, 209,701.42 and 83,973.01 is: 115,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,957.93 : 209,701.42 = 83,973.01 : x
  2. Step 2: Convert to fraction form
    151,957.93/209,701.42 = 83,973.01/x
  3. Step 3: Cross multiply
    151,957.93x = 209,701.42 × 83,973.01
  4. Step 4: Simplify right side
    151,957.93x = 17,609,259,438.67
  5. Step 5: Solve for x
    x = 17,609,259,438.67/151,957.93
  6. Step 6: Final answer
    x = 115,882.46

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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.