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Finding the Fourth Proportional to 153,806.80, 230,688.60 and 48,636.40

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Solution

The fourth proportional to 153,806.80, 230,688.60 and 48,636.40 is: 72,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.80 : 230,688.60 = 48,636.40 : x
  2. Step 2: Convert to fraction form
    153,806.80/230,688.60 = 48,636.40/x
  3. Step 3: Cross multiply
    153,806.80x = 230,688.60 × 48,636.40
  4. Step 4: Simplify right side
    153,806.80x = 11,219,863,025.04
  5. Step 5: Solve for x
    x = 11,219,863,025.04/153,806.80
  6. Step 6: Final answer
    x = 72,947.77

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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.