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Finding the Fourth Proportional to 176,406.40, 264,220.80 and 156,707.20

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Solution

The fourth proportional to 176,406.40, 264,220.80 and 156,707.20 is: 234,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,406.40 : 264,220.80 = 156,707.20 : x
  2. Step 2: Convert to fraction form
    176,406.40/264,220.80 = 156,707.20/x
  3. Step 3: Cross multiply
    176,406.40x = 264,220.80 × 156,707.20
  4. Step 4: Simplify right side
    176,406.40x = 41,405,301,749.76
  5. Step 5: Solve for x
    x = 41,405,301,749.76/176,406.40
  6. Step 6: Final answer
    x = 234,715.42

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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.