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Finding the Fourth Proportional to 86,152.47, 128,904.09 and 77,411.76

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Solution

The fourth proportional to 86,152.47, 128,904.09 and 77,411.76 is: 115,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.47 : 128,904.09 = 77,411.76 : x
  2. Step 2: Convert to fraction form
    86,152.47/128,904.09 = 77,411.76/x
  3. Step 3: Cross multiply
    86,152.47x = 128,904.09 × 77,411.76
  4. Step 4: Simplify right side
    86,152.47x = 9,978,692,478.10
  5. Step 5: Solve for x
    x = 9,978,692,478.10/86,152.47
  6. Step 6: Final answer
    x = 115,825.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.