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Finding the Fourth Proportional to 154,075.20, 230,853.60 and 101,457.60

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Solution

The fourth proportional to 154,075.20, 230,853.60 and 101,457.60 is: 152,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,075.20 : 230,853.60 = 101,457.60 : x
  2. Step 2: Convert to fraction form
    154,075.20/230,853.60 = 101,457.60/x
  3. Step 3: Cross multiply
    154,075.20x = 230,853.60 × 101,457.60
  4. Step 4: Simplify right side
    154,075.20x = 23,421,852,207.36
  5. Step 5: Solve for x
    x = 23,421,852,207.36/154,075.20
  6. Step 6: Final answer
    x = 152,015.72

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1.5x scale

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.