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Finding the Fourth Proportional to 153,476.48, 230,213.11 and 59,981.42

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Solution

The fourth proportional to 153,476.48, 230,213.11 and 59,981.42 is: 89,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,476.48 : 230,213.11 = 59,981.42 : x
  2. Step 2: Convert to fraction form
    153,476.48/230,213.11 = 59,981.42/x
  3. Step 3: Cross multiply
    153,476.48x = 230,213.11 × 59,981.42
  4. Step 4: Simplify right side
    153,476.48x = 13,808,508,940.51
  5. Step 5: Solve for x
    x = 13,808,508,940.51/153,476.48
  6. Step 6: Final answer
    x = 89,971.50

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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.