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Finding the Fourth Proportional to 201,493.19, 301,990.66 and 101,681.93

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Solution

The fourth proportional to 201,493.19, 301,990.66 and 101,681.93 is: 152,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,493.19 : 301,990.66 = 101,681.93 : x
  2. Step 2: Convert to fraction form
    201,493.19/301,990.66 = 101,681.93/x
  3. Step 3: Cross multiply
    201,493.19x = 301,990.66 × 101,681.93
  4. Step 4: Simplify right side
    201,493.19x = 30,706,994,223.51
  5. Step 5: Solve for x
    x = 30,706,994,223.51/201,493.19
  6. Step 6: Final answer
    x = 152,397.18

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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.