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Finding the Fourth Proportional to 145,304.74, 200,525.70 and 81,641.26

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Solution

The fourth proportional to 145,304.74, 200,525.70 and 81,641.26 is: 112,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304.74 : 200,525.70 = 81,641.26 : x
  2. Step 2: Convert to fraction form
    145,304.74/200,525.70 = 81,641.26/x
  3. Step 3: Cross multiply
    145,304.74x = 200,525.70 × 81,641.26
  4. Step 4: Simplify right side
    145,304.74x = 16,371,170,810.38
  5. Step 5: Solve for x
    x = 16,371,170,810.38/145,304.74
  6. Step 6: Final answer
    x = 112,667.84

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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.