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Finding the Fourth Proportional to 202,984.90, 304,477.35 and 194,820.10

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Solution

The fourth proportional to 202,984.90, 304,477.35 and 194,820.10 is: 292,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.90 : 304,477.35 = 194,820.10 : x
  2. Step 2: Convert to fraction form
    202,984.90/304,477.35 = 194,820.10/x
  3. Step 3: Cross multiply
    202,984.90x = 304,477.35 × 194,820.10
  4. Step 4: Simplify right side
    202,984.90x = 59,318,307,774.74
  5. Step 5: Solve for x
    x = 59,318,307,774.74/202,984.90
  6. Step 6: Final answer
    x = 292,230.15

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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.