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Finding the Fourth Proportional to 145,883.40, 201,318.93 and 78,815.40

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Solution

The fourth proportional to 145,883.40, 201,318.93 and 78,815.40 is: 108,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,883.40 : 201,318.93 = 78,815.40 : x
  2. Step 2: Convert to fraction form
    145,883.40/201,318.93 = 78,815.40/x
  3. Step 3: Cross multiply
    145,883.40x = 201,318.93 × 78,815.40
  4. Step 4: Simplify right side
    145,883.40x = 15,867,031,995.52
  5. Step 5: Solve for x
    x = 15,867,031,995.52/145,883.40
  6. Step 6: Final answer
    x = 108,765.16

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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.