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Finding the Fourth Proportional to 213,199.29, 319,734.81 and 175,666.32

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Solution

The fourth proportional to 213,199.29, 319,734.81 and 175,666.32 is: 263,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,199.29 : 319,734.81 = 175,666.32 : x
  2. Step 2: Convert to fraction form
    213,199.29/319,734.81 = 175,666.32/x
  3. Step 3: Cross multiply
    213,199.29x = 319,734.81 × 175,666.32
  4. Step 4: Simplify right side
    213,199.29x = 56,166,637,448.60
  5. Step 5: Solve for x
    x = 56,166,637,448.60/213,199.29
  6. Step 6: Final answer
    x = 263,446.64

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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.