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Finding the Fourth Proportional to 119,466, 179,210.16 and 35,226.24

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Solution

The fourth proportional to 119,466, 179,210.16 and 35,226.24 is: 52,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,466 : 179,210.16 = 35,226.24 : x
  2. Step 2: Convert to fraction form
    119,466/179,210.16 = 35,226.24/x
  3. Step 3: Cross multiply
    119,466x = 179,210.16 × 35,226.24
  4. Step 4: Simplify right side
    119,466x = 6,312,900,106.60
  5. Step 5: Solve for x
    x = 6,312,900,106.60/119,466
  6. Step 6: Final answer
    x = 52,842.65

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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.