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Finding the Fourth Proportional to 205,333.30, 307,894.72 and 109,325.02

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Solution

The fourth proportional to 205,333.30, 307,894.72 and 109,325.02 is: 163,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,333.30 : 307,894.72 = 109,325.02 : x
  2. Step 2: Convert to fraction form
    205,333.30/307,894.72 = 109,325.02/x
  3. Step 3: Cross multiply
    205,333.30x = 307,894.72 × 109,325.02
  4. Step 4: Simplify right side
    205,333.30x = 33,660,596,421.89
  5. Step 5: Solve for x
    x = 33,660,596,421.89/205,333.30
  6. Step 6: Final answer
    x = 163,931.50

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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.