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Finding the Fourth Proportional to 315,567.81, 473,355.90 and 105,205.82

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Solution

The fourth proportional to 315,567.81, 473,355.90 and 105,205.82 is: 157,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,567.81 : 473,355.90 = 105,205.82 : x
  2. Step 2: Convert to fraction form
    315,567.81/473,355.90 = 105,205.82/x
  3. Step 3: Cross multiply
    315,567.81x = 473,355.90 × 105,205.82
  4. Step 4: Simplify right side
    315,567.81x = 49,799,793,244.56
  5. Step 5: Solve for x
    x = 49,799,793,244.56/315,567.81
  6. Step 6: Final answer
    x = 157,810.12

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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.