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Finding the Fourth Proportional to 86,099.90, 128,688.21 and 77,647.14

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Solution

The fourth proportional to 86,099.90, 128,688.21 and 77,647.14 is: 116,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,099.90 : 128,688.21 = 77,647.14 : x
  2. Step 2: Convert to fraction form
    86,099.90/128,688.21 = 77,647.14/x
  3. Step 3: Cross multiply
    86,099.90x = 128,688.21 × 77,647.14
  4. Step 4: Simplify right side
    86,099.90x = 9,992,271,458.22
  5. Step 5: Solve for x
    x = 9,992,271,458.22/86,099.90
  6. Step 6: Final answer
    x = 116,054.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.