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Finding the Fourth Proportional to 315,585.81, 473,382.90 and 105,223.82

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Solution

The fourth proportional to 315,585.81, 473,382.90 and 105,223.82 is: 157,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,585.81 : 473,382.90 = 105,223.82 : x
  2. Step 2: Convert to fraction form
    315,585.81/473,382.90 = 105,223.82/x
  3. Step 3: Cross multiply
    315,585.81x = 473,382.90 × 105,223.82
  4. Step 4: Simplify right side
    315,585.81x = 49,811,154,693.76
  5. Step 5: Solve for x
    x = 49,811,154,693.76/315,585.81
  6. Step 6: Final answer
    x = 157,837.12

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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.