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Finding the Fourth Proportional to 302,850, 454,296.88 and 122,848.98

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Solution

The fourth proportional to 302,850, 454,296.88 and 122,848.98 is: 184,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,850 : 454,296.88 = 122,848.98 : x
  2. Step 2: Convert to fraction form
    302,850/454,296.88 = 122,848.98/x
  3. Step 3: Cross multiply
    302,850x = 454,296.88 × 122,848.98
  4. Step 4: Simplify right side
    302,850x = 55,809,908,325.18
  5. Step 5: Solve for x
    x = 55,809,908,325.18/302,850
  6. Step 6: Final answer
    x = 184,282.35

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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.