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Finding the Fourth Proportional to 175,207.04, 262,820.64 and 119,023.04

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Solution

The fourth proportional to 175,207.04, 262,820.64 and 119,023.04 is: 178,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,207.04 : 262,820.64 = 119,023.04 : x
  2. Step 2: Convert to fraction form
    175,207.04/262,820.64 = 119,023.04/x
  3. Step 3: Cross multiply
    175,207.04x = 262,820.64 × 119,023.04
  4. Step 4: Simplify right side
    175,207.04x = 31,281,711,547.55
  5. Step 5: Solve for x
    x = 31,281,711,547.55/175,207.04
  6. Step 6: Final answer
    x = 178,541.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.