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Finding the Fourth Proportional to 211,737.60, 317,314.80 and 140,457.60

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Solution

The fourth proportional to 211,737.60, 317,314.80 and 140,457.60 is: 210,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,737.60 : 317,314.80 = 140,457.60 : x
  2. Step 2: Convert to fraction form
    211,737.60/317,314.80 = 140,457.60/x
  3. Step 3: Cross multiply
    211,737.60x = 317,314.80 × 140,457.60
  4. Step 4: Simplify right side
    211,737.60x = 44,569,275,252.48
  5. Step 5: Solve for x
    x = 44,569,275,252.48/211,737.60
  6. Step 6: Final answer
    x = 210,492.97

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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.