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Finding the Fourth Proportional to 178,106.69, 245,784.26 and 96,434.28

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Solution

The fourth proportional to 178,106.69, 245,784.26 and 96,434.28 is: 133,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,106.69 : 245,784.26 = 96,434.28 : x
  2. Step 2: Convert to fraction form
    178,106.69/245,784.26 = 96,434.28/x
  3. Step 3: Cross multiply
    178,106.69x = 245,784.26 × 96,434.28
  4. Step 4: Simplify right side
    178,106.69x = 23,702,028,148.43
  5. Step 5: Solve for x
    x = 23,702,028,148.43/178,106.69
  6. Step 6: Final answer
    x = 133,077.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.