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Finding the Fourth Proportional to 201,829.07, 302,571.80 and 89,448.02

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Solution

The fourth proportional to 201,829.07, 302,571.80 and 89,448.02 is: 134,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.07 : 302,571.80 = 89,448.02 : x
  2. Step 2: Convert to fraction form
    201,829.07/302,571.80 = 89,448.02/x
  3. Step 3: Cross multiply
    201,829.07x = 302,571.80 × 89,448.02
  4. Step 4: Simplify right side
    201,829.07x = 27,064,448,417.84
  5. Step 5: Solve for x
    x = 27,064,448,417.84/201,829.07
  6. Step 6: Final answer
    x = 134,095.89

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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.