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Finding the Fourth Proportional to 338,758.66, 508,137.64 and 102,101.36

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Solution

The fourth proportional to 338,758.66, 508,137.64 and 102,101.36 is: 153,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,758.66 : 508,137.64 = 102,101.36 : x
  2. Step 2: Convert to fraction form
    338,758.66/508,137.64 = 102,101.36/x
  3. Step 3: Cross multiply
    338,758.66x = 508,137.64 × 102,101.36
  4. Step 4: Simplify right side
    338,758.66x = 51,881,544,111.19
  5. Step 5: Solve for x
    x = 51,881,544,111.19/338,758.66
  6. Step 6: Final answer
    x = 153,151.93

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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.