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Finding the Fourth Proportional to 152,396.96, 210,307.58 and 84,413.91

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Solution

The fourth proportional to 152,396.96, 210,307.58 and 84,413.91 is: 116,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,396.96 : 210,307.58 = 84,413.91 : x
  2. Step 2: Convert to fraction form
    152,396.96/210,307.58 = 84,413.91/x
  3. Step 3: Cross multiply
    152,396.96x = 210,307.58 × 84,413.91
  4. Step 4: Simplify right side
    152,396.96x = 17,752,885,130.44
  5. Step 5: Solve for x
    x = 17,752,885,130.44/152,396.96
  6. Step 6: Final answer
    x = 116,491.07

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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.