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Finding the Fourth Proportional to 157,084.91, 216,770.74 and 85,465.00

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Solution

The fourth proportional to 157,084.91, 216,770.74 and 85,465.00 is: 117,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.91 : 216,770.74 = 85,465.00 : x
  2. Step 2: Convert to fraction form
    157,084.91/216,770.74 = 85,465.00/x
  3. Step 3: Cross multiply
    157,084.91x = 216,770.74 × 85,465.00
  4. Step 4: Simplify right side
    157,084.91x = 18,526,310,538.51
  5. Step 5: Solve for x
    x = 18,526,310,538.51/157,084.91
  6. Step 6: Final answer
    x = 117,938.20

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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.