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Finding the Fourth Proportional to 176,594.40, 264,891.60 and 106,437.60

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Solution

The fourth proportional to 176,594.40, 264,891.60 and 106,437.60 is: 159,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,594.40 : 264,891.60 = 106,437.60 : x
  2. Step 2: Convert to fraction form
    176,594.40/264,891.60 = 106,437.60/x
  3. Step 3: Cross multiply
    176,594.40x = 264,891.60 × 106,437.60
  4. Step 4: Simplify right side
    176,594.40x = 28,194,426,164.16
  5. Step 5: Solve for x
    x = 28,194,426,164.16/176,594.40
  6. Step 6: Final answer
    x = 159,656.40

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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.