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Finding the Fourth Proportional to 257,065.48, 354,421.42 and 176,352.90

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Solution

The fourth proportional to 257,065.48, 354,421.42 and 176,352.90 is: 243,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,065.48 : 354,421.42 = 176,352.90 : x
  2. Step 2: Convert to fraction form
    257,065.48/354,421.42 = 176,352.90/x
  3. Step 3: Cross multiply
    257,065.48x = 354,421.42 × 176,352.90
  4. Step 4: Simplify right side
    257,065.48x = 62,503,245,239.12
  5. Step 5: Solve for x
    x = 62,503,245,239.12/257,065.48
  6. Step 6: Final answer
    x = 243,141.34

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1.5x scale

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.