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Finding the Fourth Proportional to 268,533.60, 402,804.24 and 116,696.16

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Solution

The fourth proportional to 268,533.60, 402,804.24 and 116,696.16 is: 175,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,533.60 : 402,804.24 = 116,696.16 : x
  2. Step 2: Convert to fraction form
    268,533.60/402,804.24 = 116,696.16/x
  3. Step 3: Cross multiply
    268,533.60x = 402,804.24 × 116,696.16
  4. Step 4: Simplify right side
    268,533.60x = 47,005,708,039.72
  5. Step 5: Solve for x
    x = 47,005,708,039.72/268,533.60
  6. Step 6: Final answer
    x = 175,045.91

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Why These Related Problems?

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