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Finding the Fourth Proportional to 152,806, 210,870.60 and 84,823.52

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Solution

The fourth proportional to 152,806, 210,870.60 and 84,823.52 is: 117,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,806 : 210,870.60 = 84,823.52 : x
  2. Step 2: Convert to fraction form
    152,806/210,870.60 = 84,823.52/x
  3. Step 3: Cross multiply
    152,806x = 210,870.60 × 84,823.52
  4. Step 4: Simplify right side
    152,806x = 17,886,786,556.51
  5. Step 5: Solve for x
    x = 17,886,786,556.51/152,806
  6. Step 6: Final answer
    x = 117,055.53

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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.