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Finding the Fourth Proportional to 208,523.74, 287,762.47 and 113,030.41

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Solution

The fourth proportional to 208,523.74, 287,762.47 and 113,030.41 is: 155,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.74 : 287,762.47 = 113,030.41 : x
  2. Step 2: Convert to fraction form
    208,523.74/287,762.47 = 113,030.41/x
  3. Step 3: Cross multiply
    208,523.74x = 287,762.47 × 113,030.41
  4. Step 4: Simplify right side
    208,523.74x = 32,525,909,966.71
  5. Step 5: Solve for x
    x = 32,525,909,966.71/208,523.74
  6. Step 6: Final answer
    x = 155,981.81

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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.