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Finding the Fourth Proportional to 341,854.73, 512,830.70 and 105,217.13

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Solution

The fourth proportional to 341,854.73, 512,830.70 and 105,217.13 is: 157,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,854.73 : 512,830.70 = 105,217.13 : x
  2. Step 2: Convert to fraction form
    341,854.73/512,830.70 = 105,217.13/x
  3. Step 3: Cross multiply
    341,854.73x = 512,830.70 × 105,217.13
  4. Step 4: Simplify right side
    341,854.73x = 53,958,573,903.81
  5. Step 5: Solve for x
    x = 53,958,573,903.81/341,854.73
  6. Step 6: Final answer
    x = 157,840.65

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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.