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Finding the Fourth Proportional to 201,434.76, 302,152.14 and 94,752.40

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Solution

The fourth proportional to 201,434.76, 302,152.14 and 94,752.40 is: 142,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434.76 : 302,152.14 = 94,752.40 : x
  2. Step 2: Convert to fraction form
    201,434.76/302,152.14 = 94,752.40/x
  3. Step 3: Cross multiply
    201,434.76x = 302,152.14 × 94,752.40
  4. Step 4: Simplify right side
    201,434.76x = 28,629,640,430.14
  5. Step 5: Solve for x
    x = 28,629,640,430.14/201,434.76
  6. Step 6: Final answer
    x = 142,128.60

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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.