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Finding the Fourth Proportional to 340,075.60, 510,113.40 and 103,417.90

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Solution

The fourth proportional to 340,075.60, 510,113.40 and 103,417.90 is: 155,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,075.60 : 510,113.40 = 103,417.90 : x
  2. Step 2: Convert to fraction form
    340,075.60/510,113.40 = 103,417.90/x
  3. Step 3: Cross multiply
    340,075.60x = 510,113.40 × 103,417.90
  4. Step 4: Simplify right side
    340,075.60x = 52,754,856,589.86
  5. Step 5: Solve for x
    x = 52,754,856,589.86/340,075.60
  6. Step 6: Final answer
    x = 155,126.85

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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.