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Finding the Fourth Proportional to 219,534.42, 302,958 and 118,932.42

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Solution

The fourth proportional to 219,534.42, 302,958 and 118,932.42 is: 164,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534.42 : 302,958 = 118,932.42 : x
  2. Step 2: Convert to fraction form
    219,534.42/302,958 = 118,932.42/x
  3. Step 3: Cross multiply
    219,534.42x = 302,958 × 118,932.42
  4. Step 4: Simplify right side
    219,534.42x = 36,031,528,098.36
  5. Step 5: Solve for x
    x = 36,031,528,098.36/219,534.42
  6. Step 6: Final answer
    x = 164,127.01

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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.