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Finding the Fourth Proportional to 201,008.14, 301,518.86 and 101,113.90

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Solution

The fourth proportional to 201,008.14, 301,518.86 and 101,113.90 is: 151,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,008.14 : 301,518.86 = 101,113.90 : x
  2. Step 2: Convert to fraction form
    201,008.14/301,518.86 = 101,113.90/x
  3. Step 3: Cross multiply
    201,008.14x = 301,518.86 × 101,113.90
  4. Step 4: Simplify right side
    201,008.14x = 30,487,746,603.34
  5. Step 5: Solve for x
    x = 30,487,746,603.34/201,008.14
  6. Step 6: Final answer
    x = 151,674.19

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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.