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Finding the Fourth Proportional to 208,970.03, 288,376.10 and 113,477.41

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Solution

The fourth proportional to 208,970.03, 288,376.10 and 113,477.41 is: 156,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.03 : 288,376.10 = 113,477.41 : x
  2. Step 2: Convert to fraction form
    208,970.03/288,376.10 = 113,477.41/x
  3. Step 3: Cross multiply
    208,970.03x = 288,376.10 × 113,477.41
  4. Step 4: Simplify right side
    208,970.03x = 32,724,172,366.51
  5. Step 5: Solve for x
    x = 32,724,172,366.51/208,970.03
  6. Step 6: Final answer
    x = 156,597.44

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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.