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Finding the Fourth Proportional to 152,488, 210,506.40 and 101,586

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Solution

The fourth proportional to 152,488, 210,506.40 and 101,586 is: 140,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,488 : 210,506.40 = 101,586 : x
  2. Step 2: Convert to fraction form
    152,488/210,506.40 = 101,586/x
  3. Step 3: Cross multiply
    152,488x = 210,506.40 × 101,586
  4. Step 4: Simplify right side
    152,488x = 21,384,503,150.40
  5. Step 5: Solve for x
    x = 21,384,503,150.40/152,488
  6. Step 6: Final answer
    x = 140,237.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.