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Finding the Fourth Proportional to 152,228.34, 210,075.51 and 84,250.00

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Solution

The fourth proportional to 152,228.34, 210,075.51 and 84,250.00 is: 116,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,228.34 : 210,075.51 = 84,250.00 : x
  2. Step 2: Convert to fraction form
    152,228.34/210,075.51 = 84,250.00/x
  3. Step 3: Cross multiply
    152,228.34x = 210,075.51 × 84,250.00
  4. Step 4: Simplify right side
    152,228.34x = 17,698,862,296.03
  5. Step 5: Solve for x
    x = 17,698,862,296.03/152,228.34
  6. Step 6: Final answer
    x = 116,265.23

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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.