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Finding the Fourth Proportional to 151,362, 208,886.04 and 84,294

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Solution

The fourth proportional to 151,362, 208,886.04 and 84,294 is: 116,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,362 : 208,886.04 = 84,294 : x
  2. Step 2: Convert to fraction form
    151,362/208,886.04 = 84,294/x
  3. Step 3: Cross multiply
    151,362x = 208,886.04 × 84,294
  4. Step 4: Simplify right side
    151,362x = 17,607,839,855.76
  5. Step 5: Solve for x
    x = 17,607,839,855.76/151,362
  6. Step 6: Final answer
    x = 116,329.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.