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Finding the Fourth Proportional to 228,203.58, 342,386.44 and 101,832.32

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Solution

The fourth proportional to 228,203.58, 342,386.44 and 101,832.32 is: 152,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,203.58 : 342,386.44 = 101,832.32 : x
  2. Step 2: Convert to fraction form
    228,203.58/342,386.44 = 101,832.32/x
  3. Step 3: Cross multiply
    228,203.58x = 342,386.44 × 101,832.32
  4. Step 4: Simplify right side
    228,203.58x = 34,866,005,521.74
  5. Step 5: Solve for x
    x = 34,866,005,521.74/228,203.58
  6. Step 6: Final answer
    x = 152,784.66

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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.