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Finding the Fourth Proportional to 148,765.76, 205,300.32 and 81,699.20

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Solution

The fourth proportional to 148,765.76, 205,300.32 and 81,699.20 is: 112,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,765.76 : 205,300.32 = 81,699.20 : x
  2. Step 2: Convert to fraction form
    148,765.76/205,300.32 = 81,699.20/x
  3. Step 3: Cross multiply
    148,765.76x = 205,300.32 × 81,699.20
  4. Step 4: Simplify right side
    148,765.76x = 16,772,871,903.74
  5. Step 5: Solve for x
    x = 16,772,871,903.74/148,765.76
  6. Step 6: Final answer
    x = 112,746.86

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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.