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Finding the Fourth Proportional to 201,700.90, 302,032.95 and 148,824.10

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Solution

The fourth proportional to 201,700.90, 302,032.95 and 148,824.10 is: 222,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.90 : 302,032.95 = 148,824.10 : x
  2. Step 2: Convert to fraction form
    201,700.90/302,032.95 = 148,824.10/x
  3. Step 3: Cross multiply
    201,700.90x = 302,032.95 × 148,824.10
  4. Step 4: Simplify right side
    201,700.90x = 44,949,781,954.10
  5. Step 5: Solve for x
    x = 44,949,781,954.10/201,700.90
  6. Step 6: Final answer
    x = 222,853.65

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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.