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Finding the Fourth Proportional to 233,877.29, 322,535.45 and 153,275.54

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Solution

The fourth proportional to 233,877.29, 322,535.45 and 153,275.54 is: 211,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,877.29 : 322,535.45 = 153,275.54 : x
  2. Step 2: Convert to fraction form
    233,877.29/322,535.45 = 153,275.54/x
  3. Step 3: Cross multiply
    233,877.29x = 322,535.45 × 153,275.54
  4. Step 4: Simplify right side
    233,877.29x = 49,436,794,038.40
  5. Step 5: Solve for x
    x = 49,436,794,038.40/233,877.29
  6. Step 6: Final answer
    x = 211,379.20

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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.