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Finding the Fourth Proportional to 259,038, 357,473.52 and 145,862.64

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Solution

The fourth proportional to 259,038, 357,473.52 and 145,862.64 is: 201,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,038 : 357,473.52 = 145,862.64 : x
  2. Step 2: Convert to fraction form
    259,038/357,473.52 = 145,862.64/x
  3. Step 3: Cross multiply
    259,038x = 357,473.52 × 145,862.64
  4. Step 4: Simplify right side
    259,038x = 52,142,031,357.29
  5. Step 5: Solve for x
    x = 52,142,031,357.29/259,038
  6. Step 6: Final answer
    x = 201,291.05

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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.