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Finding the Fourth Proportional to 145,547.53, 200,789.21 and 105,197.38

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Solution

The fourth proportional to 145,547.53, 200,789.21 and 105,197.38 is: 145,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547.53 : 200,789.21 = 105,197.38 : x
  2. Step 2: Convert to fraction form
    145,547.53/200,789.21 = 105,197.38/x
  3. Step 3: Cross multiply
    145,547.53x = 200,789.21 × 105,197.38
  4. Step 4: Simplify right side
    145,547.53x = 21,122,498,585.29
  5. Step 5: Solve for x
    x = 21,122,498,585.29/145,547.53
  6. Step 6: Final answer
    x = 145,124.41

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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.