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Finding the Fourth Proportional to 254,888.52, 382,308.00 and 77,397.07

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Solution

The fourth proportional to 254,888.52, 382,308.00 and 77,397.07 is: 116,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,888.52 : 382,308.00 = 77,397.07 : x
  2. Step 2: Convert to fraction form
    254,888.52/382,308.00 = 77,397.07/x
  3. Step 3: Cross multiply
    254,888.52x = 382,308.00 × 77,397.07
  4. Step 4: Simplify right side
    254,888.52x = 29,589,518,943.74
  5. Step 5: Solve for x
    x = 29,589,518,943.74/254,888.52
  6. Step 6: Final answer
    x = 116,088.08

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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.