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Finding the Fourth Proportional to 151,992.95, 209,641.46 and 106,681.01

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Solution

The fourth proportional to 151,992.95, 209,641.46 and 106,681.01 is: 147,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,992.95 : 209,641.46 = 106,681.01 : x
  2. Step 2: Convert to fraction form
    151,992.95/209,641.46 = 106,681.01/x
  3. Step 3: Cross multiply
    151,992.95x = 209,641.46 × 106,681.01
  4. Step 4: Simplify right side
    151,992.95x = 22,364,761,109.06
  5. Step 5: Solve for x
    x = 22,364,761,109.06/151,992.95
  6. Step 6: Final answer
    x = 147,143.42

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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.