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Finding the Fourth Proportional to 117,762, 162,514.12 and 64,770

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Solution

The fourth proportional to 117,762, 162,514.12 and 64,770 is: 89,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762 : 162,514.12 = 64,770 : x
  2. Step 2: Convert to fraction form
    117,762/162,514.12 = 64,770/x
  3. Step 3: Cross multiply
    117,762x = 162,514.12 × 64,770
  4. Step 4: Simplify right side
    117,762x = 10,526,039,552.40
  5. Step 5: Solve for x
    x = 10,526,039,552.40/117,762
  6. Step 6: Final answer
    x = 89,384.01

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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.