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Finding the Fourth Proportional to 295,841.16, 408,264.30 and 161,705.16

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Solution

The fourth proportional to 295,841.16, 408,264.30 and 161,705.16 is: 223,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,841.16 : 408,264.30 = 161,705.16 : x
  2. Step 2: Convert to fraction form
    295,841.16/408,264.30 = 161,705.16/x
  3. Step 3: Cross multiply
    295,841.16x = 408,264.30 × 161,705.16
  4. Step 4: Simplify right side
    295,841.16x = 66,018,443,953.79
  5. Step 5: Solve for x
    x = 66,018,443,953.79/295,841.16
  6. Step 6: Final answer
    x = 223,155.03

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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.