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Finding the Fourth Proportional to 85,746.30, 128,128.20 and 65,371.02

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Solution

The fourth proportional to 85,746.30, 128,128.20 and 65,371.02 is: 97,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,746.30 : 128,128.20 = 65,371.02 : x
  2. Step 2: Convert to fraction form
    85,746.30/128,128.20 = 65,371.02/x
  3. Step 3: Cross multiply
    85,746.30x = 128,128.20 × 65,371.02
  4. Step 4: Simplify right side
    85,746.30x = 8,375,871,124.76
  5. Step 5: Solve for x
    x = 8,375,871,124.76/85,746.30
  6. Step 6: Final answer
    x = 97,682.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.