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Finding the Fourth Proportional to 154,334.40, 230,918.40 and 101,846.40

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Solution

The fourth proportional to 154,334.40, 230,918.40 and 101,846.40 is: 152,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,334.40 : 230,918.40 = 101,846.40 : x
  2. Step 2: Convert to fraction form
    154,334.40/230,918.40 = 101,846.40/x
  3. Step 3: Cross multiply
    154,334.40x = 230,918.40 × 101,846.40
  4. Step 4: Simplify right side
    154,334.40x = 23,518,207,733.76
  5. Step 5: Solve for x
    x = 23,518,207,733.76/154,334.40
  6. Step 6: Final answer
    x = 152,384.74

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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.