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Finding the Fourth Proportional to 102,401.40, 153,623.70 and 43,206.60

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Solution

The fourth proportional to 102,401.40, 153,623.70 and 43,206.60 is: 64,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,401.40 : 153,623.70 = 43,206.60 : x
  2. Step 2: Convert to fraction form
    102,401.40/153,623.70 = 43,206.60/x
  3. Step 3: Cross multiply
    102,401.40x = 153,623.70 × 43,206.60
  4. Step 4: Simplify right side
    102,401.40x = 6,637,557,756.42
  5. Step 5: Solve for x
    x = 6,637,557,756.42/102,401.40
  6. Step 6: Final answer
    x = 64,819.01

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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.