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Finding the Fourth Proportional to 333,121.68, 499,681.80 and 96,464.16

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Solution

The fourth proportional to 333,121.68, 499,681.80 and 96,464.16 is: 144,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,121.68 : 499,681.80 = 96,464.16 : x
  2. Step 2: Convert to fraction form
    333,121.68/499,681.80 = 96,464.16/x
  3. Step 3: Cross multiply
    333,121.68x = 499,681.80 × 96,464.16
  4. Step 4: Simplify right side
    333,121.68x = 48,201,385,104.29
  5. Step 5: Solve for x
    x = 48,201,385,104.29/333,121.68
  6. Step 6: Final answer
    x = 144,696.03

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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.