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Finding the Fourth Proportional to 235,262.94, 352,695.94 and 102,042.84

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Solution

The fourth proportional to 235,262.94, 352,695.94 and 102,042.84 is: 152,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,262.94 : 352,695.94 = 102,042.84 : x
  2. Step 2: Convert to fraction form
    235,262.94/352,695.94 = 102,042.84/x
  3. Step 3: Cross multiply
    235,262.94x = 352,695.94 × 102,042.84
  4. Step 4: Simplify right side
    235,262.94x = 35,990,095,374.07
  5. Step 5: Solve for x
    x = 35,990,095,374.07/235,262.94
  6. Step 6: Final answer
    x = 152,978.18

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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.