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Finding the Fourth Proportional to 178,212.16, 245,901.52 and 101,696.32

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Solution

The fourth proportional to 178,212.16, 245,901.52 and 101,696.32 is: 140,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212.16 : 245,901.52 = 101,696.32 : x
  2. Step 2: Convert to fraction form
    178,212.16/245,901.52 = 101,696.32/x
  3. Step 3: Cross multiply
    178,212.16x = 245,901.52 × 101,696.32
  4. Step 4: Simplify right side
    178,212.16x = 25,007,279,666.41
  5. Step 5: Solve for x
    x = 25,007,279,666.41/178,212.16
  6. Step 6: Final answer
    x = 140,323.08

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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.