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Finding the Fourth Proportional to 152,240.89, 210,090.88 and 84,258

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Solution

The fourth proportional to 152,240.89, 210,090.88 and 84,258 is: 116,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240.89 : 210,090.88 = 84,258 : x
  2. Step 2: Convert to fraction form
    152,240.89/210,090.88 = 84,258/x
  3. Step 3: Cross multiply
    152,240.89x = 210,090.88 × 84,258
  4. Step 4: Simplify right side
    152,240.89x = 17,701,837,367.04
  5. Step 5: Solve for x
    x = 17,701,837,367.04/152,240.89
  6. Step 6: Final answer
    x = 116,275.18

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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.