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Finding the Fourth Proportional to 176,602.20, 264,903.30 and 105,743.40

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Solution

The fourth proportional to 176,602.20, 264,903.30 and 105,743.40 is: 158,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,602.20 : 264,903.30 = 105,743.40 : x
  2. Step 2: Convert to fraction form
    176,602.20/264,903.30 = 105,743.40/x
  3. Step 3: Cross multiply
    176,602.20x = 264,903.30 × 105,743.40
  4. Step 4: Simplify right side
    176,602.20x = 28,011,775,613.22
  5. Step 5: Solve for x
    x = 28,011,775,613.22/176,602.20
  6. Step 6: Final answer
    x = 158,615.10

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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.