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Finding the Fourth Proportional to 176,034.40, 264,051.60 and 105,877.60

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Solution

The fourth proportional to 176,034.40, 264,051.60 and 105,877.60 is: 158,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,034.40 : 264,051.60 = 105,877.60 : x
  2. Step 2: Convert to fraction form
    176,034.40/264,051.60 = 105,877.60/x
  3. Step 3: Cross multiply
    176,034.40x = 264,051.60 × 105,877.60
  4. Step 4: Simplify right side
    176,034.40x = 27,957,149,684.16
  5. Step 5: Solve for x
    x = 27,957,149,684.16/176,034.40
  6. Step 6: Final answer
    x = 158,816.40

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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.