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Finding the Fourth Proportional to 259,026.44, 357,361.70 and 156,978.32

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Solution

The fourth proportional to 259,026.44, 357,361.70 and 156,978.32 is: 216,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,026.44 : 357,361.70 = 156,978.32 : x
  2. Step 2: Convert to fraction form
    259,026.44/357,361.70 = 156,978.32/x
  3. Step 3: Cross multiply
    259,026.44x = 357,361.70 × 156,978.32
  4. Step 4: Simplify right side
    259,026.44x = 56,098,036,726.64
  5. Step 5: Solve for x
    x = 56,098,036,726.64/259,026.44
  6. Step 6: Final answer
    x = 216,572.63

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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.