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Finding the Fourth Proportional to 152,067.95, 209,835.45 and 84,075.74

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Solution

The fourth proportional to 152,067.95, 209,835.45 and 84,075.74 is: 116,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067.95 : 209,835.45 = 84,075.74 : x
  2. Step 2: Convert to fraction form
    152,067.95/209,835.45 = 84,075.74/x
  3. Step 3: Cross multiply
    152,067.95x = 209,835.45 × 84,075.74
  4. Step 4: Simplify right side
    152,067.95x = 17,642,069,687.81
  5. Step 5: Solve for x
    x = 17,642,069,687.81/152,067.95
  6. Step 6: Final answer
    x = 116,014.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.