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Finding the Fourth Proportional to 178,003.64, 245,642.95 and 96,330.00

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Solution

The fourth proportional to 178,003.64, 245,642.95 and 96,330.00 is: 132,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,003.64 : 245,642.95 = 96,330.00 : x
  2. Step 2: Convert to fraction form
    178,003.64/245,642.95 = 96,330.00/x
  3. Step 3: Cross multiply
    178,003.64x = 245,642.95 × 96,330.00
  4. Step 4: Simplify right side
    178,003.64x = 23,662,786,415.07
  5. Step 5: Solve for x
    x = 23,662,786,415.07/178,003.64
  6. Step 6: Final answer
    x = 132,934.28

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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.