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Finding the Fourth Proportional to 201,308.49, 302,061.15 and 142,521.93

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Solution

The fourth proportional to 201,308.49, 302,061.15 and 142,521.93 is: 213,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308.49 : 302,061.15 = 142,521.93 : x
  2. Step 2: Convert to fraction form
    201,308.49/302,061.15 = 142,521.93/x
  3. Step 3: Cross multiply
    201,308.49x = 302,061.15 × 142,521.93
  4. Step 4: Simplify right side
    201,308.49x = 43,050,338,076.02
  5. Step 5: Solve for x
    x = 43,050,338,076.02/201,308.49
  6. Step 6: Final answer
    x = 213,852.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.