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Finding the Fourth Proportional to 229,071, 316,152.54 and 139,698.84

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Solution

The fourth proportional to 229,071, 316,152.54 and 139,698.84 is: 192,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,071 : 316,152.54 = 139,698.84 : x
  2. Step 2: Convert to fraction form
    229,071/316,152.54 = 139,698.84/x
  3. Step 3: Cross multiply
    229,071x = 316,152.54 × 139,698.84
  4. Step 4: Simplify right side
    229,071x = 44,166,143,101.05
  5. Step 5: Solve for x
    x = 44,166,143,101.05/229,071
  6. Step 6: Final answer
    x = 192,805.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.