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Finding the Fourth Proportional to 208,774.58, 313,319.31 and 152,759.21

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Solution

The fourth proportional to 208,774.58, 313,319.31 and 152,759.21 is: 229,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,774.58 : 313,319.31 = 152,759.21 : x
  2. Step 2: Convert to fraction form
    208,774.58/313,319.31 = 152,759.21/x
  3. Step 3: Cross multiply
    208,774.58x = 313,319.31 × 152,759.21
  4. Step 4: Simplify right side
    208,774.58x = 47,862,409,108.15
  5. Step 5: Solve for x
    x = 47,862,409,108.15/208,774.58
  6. Step 6: Final answer
    x = 229,254.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.