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Finding the Fourth Proportional to 208,523.61, 287,762.31 and 113,030.28

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Solution

The fourth proportional to 208,523.61, 287,762.31 and 113,030.28 is: 155,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.61 : 287,762.31 = 113,030.28 : x
  2. Step 2: Convert to fraction form
    208,523.61/287,762.31 = 113,030.28/x
  3. Step 3: Cross multiply
    208,523.61x = 287,762.31 × 113,030.28
  4. Step 4: Simplify right side
    208,523.61x = 32,525,854,472.75
  5. Step 5: Solve for x
    x = 32,525,854,472.75/208,523.61
  6. Step 6: Final answer
    x = 155,981.64

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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.