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Finding the Fourth Proportional to 259,925.16, 358,720.83 and 157,927.11

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Solution

The fourth proportional to 259,925.16, 358,720.83 and 157,927.11 is: 217,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,925.16 : 358,720.83 = 157,927.11 : x
  2. Step 2: Convert to fraction form
    259,925.16/358,720.83 = 157,927.11/x
  3. Step 3: Cross multiply
    259,925.16x = 358,720.83 × 157,927.11
  4. Step 4: Simplify right side
    259,925.16x = 56,651,743,978.70
  5. Step 5: Solve for x
    x = 56,651,743,978.70/259,925.16
  6. Step 6: Final answer
    x = 217,954.06

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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.