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Finding the Fourth Proportional to 177,415.80, 265,686.30 and 117,929.40

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Solution

The fourth proportional to 177,415.80, 265,686.30 and 117,929.40 is: 176,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,415.80 : 265,686.30 = 117,929.40 : x
  2. Step 2: Convert to fraction form
    177,415.80/265,686.30 = 117,929.40/x
  3. Step 3: Cross multiply
    177,415.80x = 265,686.30 × 117,929.40
  4. Step 4: Simplify right side
    177,415.80x = 31,332,225,947.22
  5. Step 5: Solve for x
    x = 31,332,225,947.22/177,415.80
  6. Step 6: Final answer
    x = 176,603.36

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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.