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Finding the Fourth Proportional to 259,002.86, 357,440.40 and 157,038.08

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Solution

The fourth proportional to 259,002.86, 357,440.40 and 157,038.08 is: 216,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,002.86 : 357,440.40 = 157,038.08 : x
  2. Step 2: Convert to fraction form
    259,002.86/357,440.40 = 157,038.08/x
  3. Step 3: Cross multiply
    259,002.86x = 357,440.40 × 157,038.08
  4. Step 4: Simplify right side
    259,002.86x = 56,131,752,343.23
  5. Step 5: Solve for x
    x = 56,131,752,343.23/259,002.86
  6. Step 6: Final answer
    x = 216,722.52

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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.