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Finding the Fourth Proportional to 256,894.80, 385,409.40 and 99,128.40

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Solution

The fourth proportional to 256,894.80, 385,409.40 and 99,128.40 is: 148,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,894.80 : 385,409.40 = 99,128.40 : x
  2. Step 2: Convert to fraction form
    256,894.80/385,409.40 = 99,128.40/x
  3. Step 3: Cross multiply
    256,894.80x = 385,409.40 × 99,128.40
  4. Step 4: Simplify right side
    256,894.80x = 38,205,017,166.96
  5. Step 5: Solve for x
    x = 38,205,017,166.96/256,894.80
  6. Step 6: Final answer
    x = 148,718.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.