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Finding the Fourth Proportional to 145,256.49, 217,897.29 and 40,075.46

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Solution

The fourth proportional to 145,256.49, 217,897.29 and 40,075.46 is: 60,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,256.49 : 217,897.29 = 40,075.46 : x
  2. Step 2: Convert to fraction form
    145,256.49/217,897.29 = 40,075.46/x
  3. Step 3: Cross multiply
    145,256.49x = 217,897.29 × 40,075.46
  4. Step 4: Simplify right side
    145,256.49x = 8,732,334,129.50
  5. Step 5: Solve for x
    x = 8,732,334,129.50/145,256.49
  6. Step 6: Final answer
    x = 60,116.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.