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Finding the Fourth Proportional to 185,698, 256,263.50 and 100,815.06

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Solution

The fourth proportional to 185,698, 256,263.50 and 100,815.06 is: 139,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,698 : 256,263.50 = 100,815.06 : x
  2. Step 2: Convert to fraction form
    185,698/256,263.50 = 100,815.06/x
  3. Step 3: Cross multiply
    185,698x = 256,263.50 × 100,815.06
  4. Step 4: Simplify right side
    185,698x = 25,835,220,128.31
  5. Step 5: Solve for x
    x = 25,835,220,128.31/185,698
  6. Step 6: Final answer
    x = 139,124.92

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1.5x scale

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.