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Finding the Fourth Proportional to 357,065.10, 492,733.35 and 195,916.14

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Solution

The fourth proportional to 357,065.10, 492,733.35 and 195,916.14 is: 270,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,065.10 : 492,733.35 = 195,916.14 : x
  2. Step 2: Convert to fraction form
    357,065.10/492,733.35 = 195,916.14/x
  3. Step 3: Cross multiply
    357,065.10x = 492,733.35 × 195,916.14
  4. Step 4: Simplify right side
    357,065.10x = 96,534,415,981.27
  5. Step 5: Solve for x
    x = 96,534,415,981.27/357,065.10
  6. Step 6: Final answer
    x = 270,355.23

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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.