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Finding the Fourth Proportional to 230,271.62, 317,783.59 and 133,478.64

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Solution

The fourth proportional to 230,271.62, 317,783.59 and 133,478.64 is: 184,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,271.62 : 317,783.59 = 133,478.64 : x
  2. Step 2: Convert to fraction form
    230,271.62/317,783.59 = 133,478.64/x
  3. Step 3: Cross multiply
    230,271.62x = 317,783.59 × 133,478.64
  4. Step 4: Simplify right side
    230,271.62x = 42,417,321,073.82
  5. Step 5: Solve for x
    x = 42,417,321,073.82/230,271.62
  6. Step 6: Final answer
    x = 184,205.60

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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.