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Finding the Fourth Proportional to 185,798.63, 256,400.70 and 100,916.30

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Solution

The fourth proportional to 185,798.63, 256,400.70 and 100,916.30 is: 139,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,798.63 : 256,400.70 = 100,916.30 : x
  2. Step 2: Convert to fraction form
    185,798.63/256,400.70 = 100,916.30/x
  3. Step 3: Cross multiply
    185,798.63x = 256,400.70 × 100,916.30
  4. Step 4: Simplify right side
    185,798.63x = 25,875,009,961.41
  5. Step 5: Solve for x
    x = 25,875,009,961.41/185,798.63
  6. Step 6: Final answer
    x = 139,263.73

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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.