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Finding the Fourth Proportional to 286,315.49, 429,296.83 and 96,758.01

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Solution

The fourth proportional to 286,315.49, 429,296.83 and 96,758.01 is: 145,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,315.49 : 429,296.83 = 96,758.01 : x
  2. Step 2: Convert to fraction form
    286,315.49/429,296.83 = 96,758.01/x
  3. Step 3: Cross multiply
    286,315.49x = 429,296.83 × 96,758.01
  4. Step 4: Simplify right side
    286,315.49x = 41,537,906,728.21
  5. Step 5: Solve for x
    x = 41,537,906,728.21/286,315.49
  6. Step 6: Final answer
    x = 145,077.40

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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.