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Finding the Fourth Proportional to 219,934.80, 329,825.40 and 114,718.80

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Solution

The fourth proportional to 219,934.80, 329,825.40 and 114,718.80 is: 172,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,934.80 : 329,825.40 = 114,718.80 : x
  2. Step 2: Convert to fraction form
    219,934.80/329,825.40 = 114,718.80/x
  3. Step 3: Cross multiply
    219,934.80x = 329,825.40 × 114,718.80
  4. Step 4: Simplify right side
    219,934.80x = 37,837,174,097.52
  5. Step 5: Solve for x
    x = 37,837,174,097.52/219,934.80
  6. Step 6: Final answer
    x = 172,038.14

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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.