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Finding the Fourth Proportional to 255,345.12, 382,853.16 and 122,222.16

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Solution

The fourth proportional to 255,345.12, 382,853.16 and 122,222.16 is: 183,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,345.12 : 382,853.16 = 122,222.16 : x
  2. Step 2: Convert to fraction form
    255,345.12/382,853.16 = 122,222.16/x
  3. Step 3: Cross multiply
    255,345.12x = 382,853.16 × 122,222.16
  4. Step 4: Simplify right side
    255,345.12x = 46,793,140,178.03
  5. Step 5: Solve for x
    x = 46,793,140,178.03/255,345.12
  6. Step 6: Final answer
    x = 183,254.49

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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.