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Finding the Fourth Proportional to 152,910, 211,015.80 and 85,842

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Solution

The fourth proportional to 152,910, 211,015.80 and 85,842 is: 118,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,910 : 211,015.80 = 85,842 : x
  2. Step 2: Convert to fraction form
    152,910/211,015.80 = 85,842/x
  3. Step 3: Cross multiply
    152,910x = 211,015.80 × 85,842
  4. Step 4: Simplify right side
    152,910x = 18,114,018,303.60
  5. Step 5: Solve for x
    x = 18,114,018,303.60/152,910
  6. Step 6: Final answer
    x = 118,461.96

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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.