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Finding the Fourth Proportional to 214,752.30, 296,368.02 and 119,259.42

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Solution

The fourth proportional to 214,752.30, 296,368.02 and 119,259.42 is: 164,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,752.30 : 296,368.02 = 119,259.42 : x
  2. Step 2: Convert to fraction form
    214,752.30/296,368.02 = 119,259.42/x
  3. Step 3: Cross multiply
    214,752.30x = 296,368.02 × 119,259.42
  4. Step 4: Simplify right side
    214,752.30x = 35,344,678,171.75
  5. Step 5: Solve for x
    x = 35,344,678,171.75/214,752.30
  6. Step 6: Final answer
    x = 164,583.47

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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.