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Finding the Fourth Proportional to 98,906.16, 136,492.40 and 54,194.16

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Solution

The fourth proportional to 98,906.16, 136,492.40 and 54,194.16 is: 74,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.16 : 136,492.40 = 54,194.16 : x
  2. Step 2: Convert to fraction form
    98,906.16/136,492.40 = 54,194.16/x
  3. Step 3: Cross multiply
    98,906.16x = 136,492.40 × 54,194.16
  4. Step 4: Simplify right side
    98,906.16x = 7,397,090,964.38
  5. Step 5: Solve for x
    x = 7,397,090,964.38/98,906.16
  6. Step 6: Final answer
    x = 74,788.98

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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.