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Finding the Fourth Proportional to 235,211.34, 352,802.71 and 83,415.92

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Solution

The fourth proportional to 235,211.34, 352,802.71 and 83,415.92 is: 125,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,211.34 : 352,802.71 = 83,415.92 : x
  2. Step 2: Convert to fraction form
    235,211.34/352,802.71 = 83,415.92/x
  3. Step 3: Cross multiply
    235,211.34x = 352,802.71 × 83,415.92
  4. Step 4: Simplify right side
    235,211.34x = 29,429,362,216.06
  5. Step 5: Solve for x
    x = 29,429,362,216.06/235,211.34
  6. Step 6: Final answer
    x = 125,118.81

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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.