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Finding the Fourth Proportional to 255,210.68, 382,816.16 and 114,805.28

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Solution

The fourth proportional to 255,210.68, 382,816.16 and 114,805.28 is: 172,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,210.68 : 382,816.16 = 114,805.28 : x
  2. Step 2: Convert to fraction form
    255,210.68/382,816.16 = 114,805.28/x
  3. Step 3: Cross multiply
    255,210.68x = 382,816.16 × 114,805.28
  4. Step 4: Simplify right side
    255,210.68x = 43,949,316,437.32
  5. Step 5: Solve for x
    x = 43,949,316,437.32/255,210.68
  6. Step 6: Final answer
    x = 172,207.98

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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.