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Finding the Fourth Proportional to 230,317.52, 317,838.84 and 133,540.16

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Solution

The fourth proportional to 230,317.52, 317,838.84 and 133,540.16 is: 184,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,317.52 : 317,838.84 = 133,540.16 : x
  2. Step 2: Convert to fraction form
    230,317.52/317,838.84 = 133,540.16/x
  3. Step 3: Cross multiply
    230,317.52x = 317,838.84 × 133,540.16
  4. Step 4: Simplify right side
    230,317.52x = 42,444,249,547.81
  5. Step 5: Solve for x
    x = 42,444,249,547.81/230,317.52
  6. Step 6: Final answer
    x = 184,285.80

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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.