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Finding the Fourth Proportional to 315,441.48, 473,237.50 and 105,081.16

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Solution

The fourth proportional to 315,441.48, 473,237.50 and 105,081.16 is: 157,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,441.48 : 473,237.50 = 105,081.16 : x
  2. Step 2: Convert to fraction form
    315,441.48/473,237.50 = 105,081.16/x
  3. Step 3: Cross multiply
    315,441.48x = 473,237.50 × 105,081.16
  4. Step 4: Simplify right side
    315,441.48x = 49,728,345,455.50
  5. Step 5: Solve for x
    x = 49,728,345,455.50/315,441.48
  6. Step 6: Final answer
    x = 157,646.82

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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.