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Finding the Fourth Proportional to 185,705.16, 255,641.76 and 163,004.08

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Solution

The fourth proportional to 185,705.16, 255,641.76 and 163,004.08 is: 224,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,705.16 : 255,641.76 = 163,004.08 : x
  2. Step 2: Convert to fraction form
    185,705.16/255,641.76 = 163,004.08/x
  3. Step 3: Cross multiply
    185,705.16x = 255,641.76 × 163,004.08
  4. Step 4: Simplify right side
    185,705.16x = 41,670,649,898.38
  5. Step 5: Solve for x
    x = 41,670,649,898.38/185,705.16
  6. Step 6: Final answer
    x = 224,391.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.