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Finding the Fourth Proportional to 119,591.64, 165,030.35 and 65,875.50

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Solution

The fourth proportional to 119,591.64, 165,030.35 and 65,875.50 is: 90,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,591.64 : 165,030.35 = 65,875.50 : x
  2. Step 2: Convert to fraction form
    119,591.64/165,030.35 = 65,875.50/x
  3. Step 3: Cross multiply
    119,591.64x = 165,030.35 × 65,875.50
  4. Step 4: Simplify right side
    119,591.64x = 10,871,456,492.05
  5. Step 5: Solve for x
    x = 10,871,456,492.05/119,591.64
  6. Step 6: Final answer
    x = 90,904.82

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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.