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Finding the Fourth Proportional to 135,810.40, 203,715.60 and 98,946.40

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Solution

The fourth proportional to 135,810.40, 203,715.60 and 98,946.40 is: 148,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,810.40 : 203,715.60 = 98,946.40 : x
  2. Step 2: Convert to fraction form
    135,810.40/203,715.60 = 98,946.40/x
  3. Step 3: Cross multiply
    135,810.40x = 203,715.60 × 98,946.40
  4. Step 4: Simplify right side
    135,810.40x = 20,156,925,243.84
  5. Step 5: Solve for x
    x = 20,156,925,243.84/135,810.40
  6. Step 6: Final answer
    x = 148,419.60

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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.