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Finding the Fourth Proportional to 176,729.40, 264,705.30 and 157,030.20

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Solution

The fourth proportional to 176,729.40, 264,705.30 and 157,030.20 is: 235,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,729.40 : 264,705.30 = 157,030.20 : x
  2. Step 2: Convert to fraction form
    176,729.40/264,705.30 = 157,030.20/x
  3. Step 3: Cross multiply
    176,729.40x = 264,705.30 × 157,030.20
  4. Step 4: Simplify right side
    176,729.40x = 41,566,726,200.06
  5. Step 5: Solve for x
    x = 41,566,726,200.06/176,729.40
  6. Step 6: Final answer
    x = 235,199.84

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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.