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Finding the Fourth Proportional to 128,828.34, 177,784.47 and 72,238.50

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Solution

The fourth proportional to 128,828.34, 177,784.47 and 72,238.50 is: 99,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,828.34 : 177,784.47 = 72,238.50 : x
  2. Step 2: Convert to fraction form
    128,828.34/177,784.47 = 72,238.50/x
  3. Step 3: Cross multiply
    128,828.34x = 177,784.47 × 72,238.50
  4. Step 4: Simplify right side
    128,828.34x = 12,842,883,436.10
  5. Step 5: Solve for x
    x = 12,842,883,436.10/128,828.34
  6. Step 6: Final answer
    x = 99,689.89

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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.