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Finding the Fourth Proportional to 309,277.16, 463,988.40 and 96,034.16

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Solution

The fourth proportional to 309,277.16, 463,988.40 and 96,034.16 is: 144,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,277.16 : 463,988.40 = 96,034.16 : x
  2. Step 2: Convert to fraction form
    309,277.16/463,988.40 = 96,034.16/x
  3. Step 3: Cross multiply
    309,277.16x = 463,988.40 × 96,034.16
  4. Step 4: Simplify right side
    309,277.16x = 44,558,736,243.74
  5. Step 5: Solve for x
    x = 44,558,736,243.74/309,277.16
  6. Step 6: Final answer
    x = 144,073.80

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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.