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Finding the Fourth Proportional to 152,434.14, 210,307.23 and 88,758.42

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Solution

The fourth proportional to 152,434.14, 210,307.23 and 88,758.42 is: 122,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,434.14 : 210,307.23 = 88,758.42 : x
  2. Step 2: Convert to fraction form
    152,434.14/210,307.23 = 88,758.42/x
  3. Step 3: Cross multiply
    152,434.14x = 210,307.23 × 88,758.42
  4. Step 4: Simplify right side
    152,434.14x = 18,666,537,449.38
  5. Step 5: Solve for x
    x = 18,666,537,449.38/152,434.14
  6. Step 6: Final answer
    x = 122,456.41

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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.