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Finding the Fourth Proportional to 256,084.94, 353,395.20 and 148,664.96

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Solution

The fourth proportional to 256,084.94, 353,395.20 and 148,664.96 is: 205,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084.94 : 353,395.20 = 148,664.96 : x
  2. Step 2: Convert to fraction form
    256,084.94/353,395.20 = 148,664.96/x
  3. Step 3: Cross multiply
    256,084.94x = 353,395.20 × 148,664.96
  4. Step 4: Simplify right side
    256,084.94x = 52,537,483,272.19
  5. Step 5: Solve for x
    x = 52,537,483,272.19/256,084.94
  6. Step 6: Final answer
    x = 205,156.47

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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.