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Finding the Fourth Proportional to 157,394.62, 217,204.59 and 85,774.60

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Solution

The fourth proportional to 157,394.62, 217,204.59 and 85,774.60 is: 118,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,394.62 : 217,204.59 = 85,774.60 : x
  2. Step 2: Convert to fraction form
    157,394.62/217,204.59 = 85,774.60/x
  3. Step 3: Cross multiply
    157,394.62x = 217,204.59 × 85,774.60
  4. Step 4: Simplify right side
    157,394.62x = 18,630,636,825.41
  5. Step 5: Solve for x
    x = 18,630,636,825.41/157,394.62
  6. Step 6: Final answer
    x = 118,368.96

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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.