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Finding the Fourth Proportional to 216,097.47, 298,253.54 and 128,888.16

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Solution

The fourth proportional to 216,097.47, 298,253.54 and 128,888.16 is: 177,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.47 : 298,253.54 = 128,888.16 : x
  2. Step 2: Convert to fraction form
    216,097.47/298,253.54 = 128,888.16/x
  3. Step 3: Cross multiply
    216,097.47x = 298,253.54 × 128,888.16
  4. Step 4: Simplify right side
    216,097.47x = 38,441,351,424.76
  5. Step 5: Solve for x
    x = 38,441,351,424.76/216,097.47
  6. Step 6: Final answer
    x = 177,888.95

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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.