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Finding the Fourth Proportional to 211,792.18, 317,594.98 and 99,504.32

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Solution

The fourth proportional to 211,792.18, 317,594.98 and 99,504.32 is: 149,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,792.18 : 317,594.98 = 99,504.32 : x
  2. Step 2: Convert to fraction form
    211,792.18/317,594.98 = 99,504.32/x
  3. Step 3: Cross multiply
    211,792.18x = 317,594.98 × 99,504.32
  4. Step 4: Simplify right side
    211,792.18x = 31,602,072,520.31
  5. Step 5: Solve for x
    x = 31,602,072,520.31/211,792.18
  6. Step 6: Final answer
    x = 149,212.65

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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.