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Finding the Fourth Proportional to 230,802.40, 346,268.40 and 112,477.60

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Solution

The fourth proportional to 230,802.40, 346,268.40 and 112,477.60 is: 168,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,802.40 : 346,268.40 = 112,477.60 : x
  2. Step 2: Convert to fraction form
    230,802.40/346,268.40 = 112,477.60/x
  3. Step 3: Cross multiply
    230,802.40x = 346,268.40 × 112,477.60
  4. Step 4: Simplify right side
    230,802.40x = 38,947,438,587.84
  5. Step 5: Solve for x
    x = 38,947,438,587.84/230,802.40
  6. Step 6: Final answer
    x = 168,747.98

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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.