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Finding the Fourth Proportional to 286,681.68, 430,022.16 and 99,693

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Solution

The fourth proportional to 286,681.68, 430,022.16 and 99,693 is: 149,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,681.68 : 430,022.16 = 99,693 : x
  2. Step 2: Convert to fraction form
    286,681.68/430,022.16 = 99,693/x
  3. Step 3: Cross multiply
    286,681.68x = 430,022.16 × 99,693
  4. Step 4: Simplify right side
    286,681.68x = 42,870,199,196.88
  5. Step 5: Solve for x
    x = 42,870,199,196.88/286,681.68
  6. Step 6: Final answer
    x = 149,539.37

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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.