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Finding the Fourth Proportional to 117,006.30, 175,509.45 and 97,323.30

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Solution

The fourth proportional to 117,006.30, 175,509.45 and 97,323.30 is: 145,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006.30 : 175,509.45 = 97,323.30 : x
  2. Step 2: Convert to fraction form
    117,006.30/175,509.45 = 97,323.30/x
  3. Step 3: Cross multiply
    117,006.30x = 175,509.45 × 97,323.30
  4. Step 4: Simplify right side
    117,006.30x = 17,081,158,855.19
  5. Step 5: Solve for x
    x = 17,081,158,855.19/117,006.30
  6. Step 6: Final answer
    x = 145,984.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.