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Finding the Fourth Proportional to 152,476, 228,461.36 and 107,881.76

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Solution

The fourth proportional to 152,476, 228,461.36 and 107,881.76 is: 161,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,476 : 228,461.36 = 107,881.76 : x
  2. Step 2: Convert to fraction form
    152,476/228,461.36 = 107,881.76/x
  3. Step 3: Cross multiply
    152,476x = 228,461.36 × 107,881.76
  4. Step 4: Simplify right side
    152,476x = 24,646,813,608.79
  5. Step 5: Solve for x
    x = 24,646,813,608.79/152,476
  6. Step 6: Final answer
    x = 161,643.89

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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.