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Finding the Fourth Proportional to 157,116.60, 216,823.56 and 85,497.84

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Solution

The fourth proportional to 157,116.60, 216,823.56 and 85,497.84 is: 117,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.60 : 216,823.56 = 85,497.84 : x
  2. Step 2: Convert to fraction form
    157,116.60/216,823.56 = 85,497.84/x
  3. Step 3: Cross multiply
    157,116.60x = 216,823.56 × 85,497.84
  4. Step 4: Simplify right side
    157,116.60x = 18,537,946,041.11
  5. Step 5: Solve for x
    x = 18,537,946,041.11/157,116.60
  6. Step 6: Final answer
    x = 117,988.46

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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.