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Finding the Fourth Proportional to 214,702.52, 296,283.84 and 119,206.76

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Solution

The fourth proportional to 214,702.52, 296,283.84 and 119,206.76 is: 164,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,702.52 : 296,283.84 = 119,206.76 : x
  2. Step 2: Convert to fraction form
    214,702.52/296,283.84 = 119,206.76/x
  3. Step 3: Cross multiply
    214,702.52x = 296,283.84 × 119,206.76
  4. Step 4: Simplify right side
    214,702.52x = 35,319,036,606.76
  5. Step 5: Solve for x
    x = 35,319,036,606.76/214,702.52
  6. Step 6: Final answer
    x = 164,502.20

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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.