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Finding the Fourth Proportional to 357,117.96, 492,830.88 and 195,983.22

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Solution

The fourth proportional to 357,117.96, 492,830.88 and 195,983.22 is: 270,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,117.96 : 492,830.88 = 195,983.22 : x
  2. Step 2: Convert to fraction form
    357,117.96/492,830.88 = 195,983.22/x
  3. Step 3: Cross multiply
    357,117.96x = 492,830.88 × 195,983.22
  4. Step 4: Simplify right side
    357,117.96x = 96,586,583,607.33
  5. Step 5: Solve for x
    x = 96,586,583,607.33/357,117.96
  6. Step 6: Final answer
    x = 270,461.29

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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.