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Finding the Fourth Proportional to 96,025.80, 144,038.70 and 89,027.40

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Solution

The fourth proportional to 96,025.80, 144,038.70 and 89,027.40 is: 133,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,025.80 : 144,038.70 = 89,027.40 : x
  2. Step 2: Convert to fraction form
    96,025.80/144,038.70 = 89,027.40/x
  3. Step 3: Cross multiply
    96,025.80x = 144,038.70 × 89,027.40
  4. Step 4: Simplify right side
    96,025.80x = 12,823,390,960.38
  5. Step 5: Solve for x
    x = 12,823,390,960.38/96,025.80
  6. Step 6: Final answer
    x = 133,541.10

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Why These Related Problems?

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