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Finding the Fourth Proportional to 152,519.76, 210,476.88 and 84,537

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Solution

The fourth proportional to 152,519.76, 210,476.88 and 84,537 is: 116,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,519.76 : 210,476.88 = 84,537 : x
  2. Step 2: Convert to fraction form
    152,519.76/210,476.88 = 84,537/x
  3. Step 3: Cross multiply
    152,519.76x = 210,476.88 × 84,537
  4. Step 4: Simplify right side
    152,519.76x = 17,793,084,004.56
  5. Step 5: Solve for x
    x = 17,793,084,004.56/152,519.76
  6. Step 6: Final answer
    x = 116,660.84

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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.