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Finding the Fourth Proportional to 154,298.40, 231,460.40 and 49,114.40

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Solution

The fourth proportional to 154,298.40, 231,460.40 and 49,114.40 is: 73,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,298.40 : 231,460.40 = 49,114.40 : x
  2. Step 2: Convert to fraction form
    154,298.40/231,460.40 = 49,114.40/x
  3. Step 3: Cross multiply
    154,298.40x = 231,460.40 × 49,114.40
  4. Step 4: Simplify right side
    154,298.40x = 11,368,038,669.76
  5. Step 5: Solve for x
    x = 11,368,038,669.76/154,298.40
  6. Step 6: Final answer
    x = 73,675.67

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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.