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Finding the Fourth Proportional to 208,532, 287,772.54 and 113,036.24

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Solution

The fourth proportional to 208,532, 287,772.54 and 113,036.24 is: 155,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,532 : 287,772.54 = 113,036.24 : x
  2. Step 2: Convert to fraction form
    208,532/287,772.54 = 113,036.24/x
  3. Step 3: Cross multiply
    208,532x = 287,772.54 × 113,036.24
  4. Step 4: Simplify right side
    208,532x = 32,528,725,896.85
  5. Step 5: Solve for x
    x = 32,528,725,896.85/208,532
  6. Step 6: Final answer
    x = 155,989.13

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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.