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Finding the Fourth Proportional to 114,102.81, 157,461.18 and 63,114.63

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Solution

The fourth proportional to 114,102.81, 157,461.18 and 63,114.63 is: 87,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102.81 : 157,461.18 = 63,114.63 : x
  2. Step 2: Convert to fraction form
    114,102.81/157,461.18 = 63,114.63/x
  3. Step 3: Cross multiply
    114,102.81x = 157,461.18 × 63,114.63
  4. Step 4: Simplify right side
    114,102.81x = 9,938,104,115.06
  5. Step 5: Solve for x
    x = 9,938,104,115.06/114,102.81
  6. Step 6: Final answer
    x = 87,097.80

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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.