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Finding the Fourth Proportional to 254,926.94, 382,045.95 and 97,069.28

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Solution

The fourth proportional to 254,926.94, 382,045.95 and 97,069.28 is: 145,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,926.94 : 382,045.95 = 97,069.28 : x
  2. Step 2: Convert to fraction form
    254,926.94/382,045.95 = 97,069.28/x
  3. Step 3: Cross multiply
    254,926.94x = 382,045.95 × 97,069.28
  4. Step 4: Simplify right side
    254,926.94x = 37,084,926,248.53
  5. Step 5: Solve for x
    x = 37,084,926,248.53/254,926.94
  6. Step 6: Final answer
    x = 145,472.76

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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.