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Finding the Fourth Proportional to 315,568.19, 473,356.47 and 105,206.19

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Solution

The fourth proportional to 315,568.19, 473,356.47 and 105,206.19 is: 157,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,568.19 : 473,356.47 = 105,206.19 : x
  2. Step 2: Convert to fraction form
    315,568.19/473,356.47 = 105,206.19/x
  3. Step 3: Cross multiply
    315,568.19x = 473,356.47 × 105,206.19
  4. Step 4: Simplify right side
    315,568.19x = 49,800,030,720.55
  5. Step 5: Solve for x
    x = 49,800,030,720.55/315,568.19
  6. Step 6: Final answer
    x = 157,810.68

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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.