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Finding the Fourth Proportional to 210,005.49, 314,909.72 and 76,792.59

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Solution

The fourth proportional to 210,005.49, 314,909.72 and 76,792.59 is: 115,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.49 : 314,909.72 = 76,792.59 : x
  2. Step 2: Convert to fraction form
    210,005.49/314,909.72 = 76,792.59/x
  3. Step 3: Cross multiply
    210,005.49x = 314,909.72 × 76,792.59
  4. Step 4: Simplify right side
    210,005.49x = 24,182,733,014.97
  5. Step 5: Solve for x
    x = 24,182,733,014.97/210,005.49
  6. Step 6: Final answer
    x = 115,152.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.