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Finding the Fourth Proportional to 176,476.40, 264,325.80 and 156,777.20

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Solution

The fourth proportional to 176,476.40, 264,325.80 and 156,777.20 is: 234,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,476.40 : 264,325.80 = 156,777.20 : x
  2. Step 2: Convert to fraction form
    176,476.40/264,325.80 = 156,777.20/x
  3. Step 3: Cross multiply
    176,476.40x = 264,325.80 × 156,777.20
  4. Step 4: Simplify right side
    176,476.40x = 41,440,258,811.76
  5. Step 5: Solve for x
    x = 41,440,258,811.76/176,476.40
  6. Step 6: Final answer
    x = 234,820.40

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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.