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Finding the Fourth Proportional to 228,009.60, 314,863.20 and 152,776.80

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Solution

The fourth proportional to 228,009.60, 314,863.20 and 152,776.80 is: 210,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,009.60 : 314,863.20 = 152,776.80 : x
  2. Step 2: Convert to fraction form
    228,009.60/314,863.20 = 152,776.80/x
  3. Step 3: Cross multiply
    228,009.60x = 314,863.20 × 152,776.80
  4. Step 4: Simplify right side
    228,009.60x = 48,103,792,133.76
  5. Step 5: Solve for x
    x = 48,103,792,133.76/228,009.60
  6. Step 6: Final answer
    x = 210,972.66

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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.