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Finding the Fourth Proportional to 103,023, 142,032.16 and 88,076.22

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Solution

The fourth proportional to 103,023, 142,032.16 and 88,076.22 is: 121,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,023 : 142,032.16 = 88,076.22 : x
  2. Step 2: Convert to fraction form
    103,023/142,032.16 = 88,076.22/x
  3. Step 3: Cross multiply
    103,023x = 142,032.16 × 88,076.22
  4. Step 4: Simplify right side
    103,023x = 12,509,655,881.33
  5. Step 5: Solve for x
    x = 12,509,655,881.33/103,023
  6. Step 6: Final answer
    x = 121,425.86

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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.