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Finding the Fourth Proportional to 185,894.86, 256,534.42 and 101,011.93

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Solution

The fourth proportional to 185,894.86, 256,534.42 and 101,011.93 is: 139,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,894.86 : 256,534.42 = 101,011.93 : x
  2. Step 2: Convert to fraction form
    185,894.86/256,534.42 = 101,011.93/x
  3. Step 3: Cross multiply
    185,894.86x = 256,534.42 × 101,011.93
  4. Step 4: Simplify right side
    185,894.86x = 25,913,036,875.63
  5. Step 5: Solve for x
    x = 25,913,036,875.63/185,894.86
  6. Step 6: Final answer
    x = 139,396.20

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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.