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Finding the Fourth Proportional to 114,462, 157,967.30 and 64,170.72

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Solution

The fourth proportional to 114,462, 157,967.30 and 64,170.72 is: 88,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462 : 157,967.30 = 64,170.72 : x
  2. Step 2: Convert to fraction form
    114,462/157,967.30 = 64,170.72/x
  3. Step 3: Cross multiply
    114,462x = 157,967.30 × 64,170.72
  4. Step 4: Simplify right side
    114,462x = 10,136,875,377.46
  5. Step 5: Solve for x
    x = 10,136,875,377.46/114,462
  6. Step 6: Final answer
    x = 88,561.05

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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.