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Finding the Fourth Proportional to 286,094.40, 429,141.60 and 160,123.20

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Solution

The fourth proportional to 286,094.40, 429,141.60 and 160,123.20 is: 240,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,094.40 : 429,141.60 = 160,123.20 : x
  2. Step 2: Convert to fraction form
    286,094.40/429,141.60 = 160,123.20/x
  3. Step 3: Cross multiply
    286,094.40x = 429,141.60 × 160,123.20
  4. Step 4: Simplify right side
    286,094.40x = 68,715,526,245.12
  5. Step 5: Solve for x
    x = 68,715,526,245.12/286,094.40
  6. Step 6: Final answer
    x = 240,184.80

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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.