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Finding the Fourth Proportional to 98,204.16, 135,521.60 and 53,492.16

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Solution

The fourth proportional to 98,204.16, 135,521.60 and 53,492.16 is: 73,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,204.16 : 135,521.60 = 53,492.16 : x
  2. Step 2: Convert to fraction form
    98,204.16/135,521.60 = 53,492.16/x
  3. Step 3: Cross multiply
    98,204.16x = 135,521.60 × 53,492.16
  4. Step 4: Simplify right side
    98,204.16x = 7,249,343,110.66
  5. Step 5: Solve for x
    x = 7,249,343,110.66/98,204.16
  6. Step 6: Final answer
    x = 73,819.10

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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.