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Finding the Fourth Proportional to 280,140.82, 386,591.84 and 152,813.68

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Solution

The fourth proportional to 280,140.82, 386,591.84 and 152,813.68 is: 210,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,140.82 : 386,591.84 = 152,813.68 : x
  2. Step 2: Convert to fraction form
    280,140.82/386,591.84 = 152,813.68/x
  3. Step 3: Cross multiply
    280,140.82x = 386,591.84 × 152,813.68
  4. Step 4: Simplify right side
    280,140.82x = 59,076,521,728.37
  5. Step 5: Solve for x
    x = 59,076,521,728.37/280,140.82
  6. Step 6: Final answer
    x = 210,881.52

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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.