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Finding the Fourth Proportional to 101,407.60, 152,111.40 and 85,855.60

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Solution

The fourth proportional to 101,407.60, 152,111.40 and 85,855.60 is: 128,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,407.60 : 152,111.40 = 85,855.60 : x
  2. Step 2: Convert to fraction form
    101,407.60/152,111.40 = 85,855.60/x
  3. Step 3: Cross multiply
    101,407.60x = 152,111.40 × 85,855.60
  4. Step 4: Simplify right side
    101,407.60x = 13,059,615,513.84
  5. Step 5: Solve for x
    x = 13,059,615,513.84/101,407.60
  6. Step 6: Final answer
    x = 128,783.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.