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Finding the Fourth Proportional to 286,119.74, 429,133.14 and 117,605.93

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Solution

The fourth proportional to 286,119.74, 429,133.14 and 117,605.93 is: 176,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,119.74 : 429,133.14 = 117,605.93 : x
  2. Step 2: Convert to fraction form
    286,119.74/429,133.14 = 117,605.93/x
  3. Step 3: Cross multiply
    286,119.74x = 429,133.14 × 117,605.93
  4. Step 4: Simplify right side
    286,119.74x = 50,468,599,877.85
  5. Step 5: Solve for x
    x = 50,468,599,877.85/286,119.74
  6. Step 6: Final answer
    x = 176,389.79

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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.