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Finding the Fourth Proportional to 209,484.48, 314,275.94 and 69,243.11

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Solution

The fourth proportional to 209,484.48, 314,275.94 and 69,243.11 is: 103,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,484.48 : 314,275.94 = 69,243.11 : x
  2. Step 2: Convert to fraction form
    209,484.48/314,275.94 = 69,243.11/x
  3. Step 3: Cross multiply
    209,484.48x = 314,275.94 × 69,243.11
  4. Step 4: Simplify right side
    209,484.48x = 21,761,443,483.77
  5. Step 5: Solve for x
    x = 21,761,443,483.77/209,484.48
  6. Step 6: Final answer
    x = 103,880.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.