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Finding the Fourth Proportional to 232,405.94, 320,726.59 and 130,437.74

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Solution

The fourth proportional to 232,405.94, 320,726.59 and 130,437.74 is: 180,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,405.94 : 320,726.59 = 130,437.74 : x
  2. Step 2: Convert to fraction form
    232,405.94/320,726.59 = 130,437.74/x
  3. Step 3: Cross multiply
    232,405.94x = 320,726.59 × 130,437.74
  4. Step 4: Simplify right side
    232,405.94x = 41,834,852,033.23
  5. Step 5: Solve for x
    x = 41,834,852,033.23/232,405.94
  6. Step 6: Final answer
    x = 180,007.67

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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.