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Finding the Fourth Proportional to 155,142.40, 232,713.60 and 96,093.40

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Solution

The fourth proportional to 155,142.40, 232,713.60 and 96,093.40 is: 144,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142.40 : 232,713.60 = 96,093.40 : x
  2. Step 2: Convert to fraction form
    155,142.40/232,713.60 = 96,093.40/x
  3. Step 3: Cross multiply
    155,142.40x = 232,713.60 × 96,093.40
  4. Step 4: Simplify right side
    155,142.40x = 22,362,241,050.24
  5. Step 5: Solve for x
    x = 22,362,241,050.24/155,142.40
  6. Step 6: Final answer
    x = 144,140.10

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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.