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Finding the Fourth Proportional to 214,862.04, 296,499 and 119,374.20

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Solution

The fourth proportional to 214,862.04, 296,499 and 119,374.20 is: 164,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,862.04 : 296,499 = 119,374.20 : x
  2. Step 2: Convert to fraction form
    214,862.04/296,499 = 119,374.20/x
  3. Step 3: Cross multiply
    214,862.04x = 296,499 × 119,374.20
  4. Step 4: Simplify right side
    214,862.04x = 35,394,330,925.80
  5. Step 5: Solve for x
    x = 35,394,330,925.80/214,862.04
  6. Step 6: Final answer
    x = 164,730.50

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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.