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Finding the Fourth Proportional to 185,646.84, 256,185.78 and 100,762.08

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Solution

The fourth proportional to 185,646.84, 256,185.78 and 100,762.08 is: 139,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,646.84 : 256,185.78 = 100,762.08 : x
  2. Step 2: Convert to fraction form
    185,646.84/256,185.78 = 100,762.08/x
  3. Step 3: Cross multiply
    185,646.84x = 256,185.78 × 100,762.08
  4. Step 4: Simplify right side
    185,646.84x = 25,813,812,059.22
  5. Step 5: Solve for x
    x = 25,813,812,059.22/185,646.84
  6. Step 6: Final answer
    x = 139,047.95

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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.