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Finding the Fourth Proportional to 201,698.73, 302,451.59 and 117,482.93

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Solution

The fourth proportional to 201,698.73, 302,451.59 and 117,482.93 is: 176,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.73 : 302,451.59 = 117,482.93 : x
  2. Step 2: Convert to fraction form
    201,698.73/302,451.59 = 117,482.93/x
  3. Step 3: Cross multiply
    201,698.73x = 302,451.59 × 117,482.93
  4. Step 4: Simplify right side
    201,698.73x = 35,532,896,876.69
  5. Step 5: Solve for x
    x = 35,532,896,876.69/201,698.73
  6. Step 6: Final answer
    x = 176,168.17

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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.