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Finding the Fourth Proportional to 310,145.69, 465,283.09 and 96,904.98

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Solution

The fourth proportional to 310,145.69, 465,283.09 and 96,904.98 is: 145,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,145.69 : 465,283.09 = 96,904.98 : x
  2. Step 2: Convert to fraction form
    310,145.69/465,283.09 = 96,904.98/x
  3. Step 3: Cross multiply
    310,145.69x = 465,283.09 × 96,904.98
  4. Step 4: Simplify right side
    310,145.69x = 45,088,248,288.53
  5. Step 5: Solve for x
    x = 45,088,248,288.53/310,145.69
  6. Step 6: Final answer
    x = 145,377.64

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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.