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Finding the Fourth Proportional to 145,664.68, 200,970.33 and 88,327

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Solution

The fourth proportional to 145,664.68, 200,970.33 and 88,327 is: 121,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,664.68 : 200,970.33 = 88,327 : x
  2. Step 2: Convert to fraction form
    145,664.68/200,970.33 = 88,327/x
  3. Step 3: Cross multiply
    145,664.68x = 200,970.33 × 88,327
  4. Step 4: Simplify right side
    145,664.68x = 17,751,106,337.91
  5. Step 5: Solve for x
    x = 17,751,106,337.91/145,664.68
  6. Step 6: Final answer
    x = 121,862.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.