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Finding the Fourth Proportional to 230,804.64, 346,203.37 and 118,420.00

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Solution

The fourth proportional to 230,804.64, 346,203.37 and 118,420.00 is: 177,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,804.64 : 346,203.37 = 118,420.00 : x
  2. Step 2: Convert to fraction form
    230,804.64/346,203.37 = 118,420.00/x
  3. Step 3: Cross multiply
    230,804.64x = 346,203.37 × 118,420.00
  4. Step 4: Simplify right side
    230,804.64x = 40,997,402,665.50
  5. Step 5: Solve for x
    x = 40,997,402,665.50/230,804.64
  6. Step 6: Final answer
    x = 177,628.16

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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.