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Finding the Fourth Proportional to 145,075.88, 200,224.27 and 81,417.17

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Solution

The fourth proportional to 145,075.88, 200,224.27 and 81,417.17 is: 112,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,075.88 : 200,224.27 = 81,417.17 : x
  2. Step 2: Convert to fraction form
    145,075.88/200,224.27 = 81,417.17/x
  3. Step 3: Cross multiply
    145,075.88x = 200,224.27 × 81,417.17
  4. Step 4: Simplify right side
    145,075.88x = 16,301,694,031.05
  5. Step 5: Solve for x
    x = 16,301,694,031.05/145,075.88
  6. Step 6: Final answer
    x = 112,366.67

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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.