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Finding the Fourth Proportional to 209,018.01, 288,445.68 and 113,526.30

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Solution

The fourth proportional to 209,018.01, 288,445.68 and 113,526.30 is: 156,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,018.01 : 288,445.68 = 113,526.30 : x
  2. Step 2: Convert to fraction form
    209,018.01/288,445.68 = 113,526.30/x
  3. Step 3: Cross multiply
    209,018.01x = 288,445.68 × 113,526.30
  4. Step 4: Simplify right side
    209,018.01x = 32,746,170,801.38
  5. Step 5: Solve for x
    x = 32,746,170,801.38/209,018.01
  6. Step 6: Final answer
    x = 156,666.74

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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.