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Finding the Fourth Proportional to 201,430.76, 302,146.14 and 94,748.40

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Solution

The fourth proportional to 201,430.76, 302,146.14 and 94,748.40 is: 142,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.76 : 302,146.14 = 94,748.40 : x
  2. Step 2: Convert to fraction form
    201,430.76/302,146.14 = 94,748.40/x
  3. Step 3: Cross multiply
    201,430.76x = 302,146.14 × 94,748.40
  4. Step 4: Simplify right side
    201,430.76x = 28,627,863,331.18
  5. Step 5: Solve for x
    x = 28,627,863,331.18/201,430.76
  6. Step 6: Final answer
    x = 142,122.60

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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.