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Finding the Fourth Proportional to 153,684.96, 212,103.36 and 85,712.64

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Solution

The fourth proportional to 153,684.96, 212,103.36 and 85,712.64 is: 118,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684.96 : 212,103.36 = 85,712.64 : x
  2. Step 2: Convert to fraction form
    153,684.96/212,103.36 = 85,712.64/x
  3. Step 3: Cross multiply
    153,684.96x = 212,103.36 × 85,712.64
  4. Step 4: Simplify right side
    153,684.96x = 18,179,938,938.47
  5. Step 5: Solve for x
    x = 18,179,938,938.47/153,684.96
  6. Step 6: Final answer
    x = 118,293.55

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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.