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Finding the Fourth Proportional to 160,051.58, 220,683.80 and 109,094.48

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Solution

The fourth proportional to 160,051.58, 220,683.80 and 109,094.48 is: 150,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,051.58 : 220,683.80 = 109,094.48 : x
  2. Step 2: Convert to fraction form
    160,051.58/220,683.80 = 109,094.48/x
  3. Step 3: Cross multiply
    160,051.58x = 220,683.80 × 109,094.48
  4. Step 4: Simplify right side
    160,051.58x = 24,075,384,405.42
  5. Step 5: Solve for x
    x = 24,075,384,405.42/160,051.58
  6. Step 6: Final answer
    x = 150,422.66

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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.