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Finding the Fourth Proportional to 201,699.14, 302,392.86 and 101,807.91

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Solution

The fourth proportional to 201,699.14, 302,392.86 and 101,807.91 is: 152,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.14 : 302,392.86 = 101,807.91 : x
  2. Step 2: Convert to fraction form
    201,699.14/302,392.86 = 101,807.91/x
  3. Step 3: Cross multiply
    201,699.14x = 302,392.86 × 101,807.91
  4. Step 4: Simplify right side
    201,699.14x = 30,785,985,075.52
  5. Step 5: Solve for x
    x = 30,785,985,075.52/201,699.14
  6. Step 6: Final answer
    x = 152,633.20

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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.