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Finding the Fourth Proportional to 157,184.47, 216,913.49 and 85,564.32

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Solution

The fourth proportional to 157,184.47, 216,913.49 and 85,564.32 is: 118,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.47 : 216,913.49 = 85,564.32 : x
  2. Step 2: Convert to fraction form
    157,184.47/216,913.49 = 85,564.32/x
  3. Step 3: Cross multiply
    157,184.47x = 216,913.49 × 85,564.32
  4. Step 4: Simplify right side
    157,184.47x = 18,560,056,661.80
  5. Step 5: Solve for x
    x = 18,560,056,661.80/157,184.47
  6. Step 6: Final answer
    x = 118,078.18

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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.