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Finding the Fourth Proportional to 536,854.94, 805,282.56 and 157,775.66

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Solution

The fourth proportional to 536,854.94, 805,282.56 and 157,775.66 is: 236,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,854.94 : 805,282.56 = 157,775.66 : x
  2. Step 2: Convert to fraction form
    536,854.94/805,282.56 = 157,775.66/x
  3. Step 3: Cross multiply
    536,854.94x = 805,282.56 × 157,775.66
  4. Step 4: Simplify right side
    536,854.94x = 127,053,983,955.74
  5. Step 5: Solve for x
    x = 127,053,983,955.74/536,854.94
  6. Step 6: Final answer
    x = 236,663.53

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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.