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Finding the Fourth Proportional to 114,419, 157,907.94 and 64,127.72

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Solution

The fourth proportional to 114,419, 157,907.94 and 64,127.72 is: 88,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419 : 157,907.94 = 64,127.72 : x
  2. Step 2: Convert to fraction form
    114,419/157,907.94 = 64,127.72/x
  3. Step 3: Cross multiply
    114,419x = 157,907.94 × 64,127.72
  4. Step 4: Simplify right side
    114,419x = 10,126,276,162.10
  5. Step 5: Solve for x
    x = 10,126,276,162.10/114,419
  6. Step 6: Final answer
    x = 88,501.70

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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.