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Finding the Fourth Proportional to 144,896.82, 217,320.62 and 38,281.93

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Solution

The fourth proportional to 144,896.82, 217,320.62 and 38,281.93 is: 57,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896.82 : 217,320.62 = 38,281.93 : x
  2. Step 2: Convert to fraction form
    144,896.82/217,320.62 = 38,281.93/x
  3. Step 3: Cross multiply
    144,896.82x = 217,320.62 × 38,281.93
  4. Step 4: Simplify right side
    144,896.82x = 8,319,453,465.45
  5. Step 5: Solve for x
    x = 8,319,453,465.45/144,896.82
  6. Step 6: Final answer
    x = 57,416.40

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1.5x scale

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.