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Finding the Fourth Proportional to 185,894.19, 256,536.32 and 101,012.67

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Solution

The fourth proportional to 185,894.19, 256,536.32 and 101,012.67 is: 139,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,894.19 : 256,536.32 = 101,012.67 : x
  2. Step 2: Convert to fraction form
    185,894.19/256,536.32 = 101,012.67/x
  3. Step 3: Cross multiply
    185,894.19x = 256,536.32 × 101,012.67
  4. Step 4: Simplify right side
    185,894.19x = 25,913,418,130.11
  5. Step 5: Solve for x
    x = 25,913,418,130.11/185,894.19
  6. Step 6: Final answer
    x = 139,398.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.