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Finding the Fourth Proportional to 265,881.50, 366,916.50 and 146,649.50

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Solution

The fourth proportional to 265,881.50, 366,916.50 and 146,649.50 is: 202,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,881.50 : 366,916.50 = 146,649.50 : x
  2. Step 2: Convert to fraction form
    265,881.50/366,916.50 = 146,649.50/x
  3. Step 3: Cross multiply
    265,881.50x = 366,916.50 × 146,649.50
  4. Step 4: Simplify right side
    265,881.50x = 53,808,121,266.75
  5. Step 5: Solve for x
    x = 53,808,121,266.75/265,881.50
  6. Step 6: Final answer
    x = 202,376.33

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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.