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Finding the Fourth Proportional to 155,143.40, 232,715.10 and 96,094.40

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Solution

The fourth proportional to 155,143.40, 232,715.10 and 96,094.40 is: 144,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143.40 : 232,715.10 = 96,094.40 : x
  2. Step 2: Convert to fraction form
    155,143.40/232,715.10 = 96,094.40/x
  3. Step 3: Cross multiply
    155,143.40x = 232,715.10 × 96,094.40
  4. Step 4: Simplify right side
    155,143.40x = 22,362,617,905.44
  5. Step 5: Solve for x
    x = 22,362,617,905.44/155,143.40
  6. Step 6: Final answer
    x = 144,141.60

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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.