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Finding the Fourth Proportional to 233,239.50, 321,969.82 and 156,802.93

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Solution

The fourth proportional to 233,239.50, 321,969.82 and 156,802.93 is: 216,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239.50 : 321,969.82 = 156,802.93 : x
  2. Step 2: Convert to fraction form
    233,239.50/321,969.82 = 156,802.93/x
  3. Step 3: Cross multiply
    233,239.50x = 321,969.82 × 156,802.93
  4. Step 4: Simplify right side
    233,239.50x = 50,485,808,753.71
  5. Step 5: Solve for x
    x = 50,485,808,753.71/233,239.50
  6. Step 6: Final answer
    x = 216,454.80

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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.