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Finding the Fourth Proportional to 127,678.47, 191,510.51 and 56,580.63

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Solution

The fourth proportional to 127,678.47, 191,510.51 and 56,580.63 is: 84,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,678.47 : 191,510.51 = 56,580.63 : x
  2. Step 2: Convert to fraction form
    127,678.47/191,510.51 = 56,580.63/x
  3. Step 3: Cross multiply
    127,678.47x = 191,510.51 × 56,580.63
  4. Step 4: Simplify right side
    127,678.47x = 10,835,785,024.52
  5. Step 5: Solve for x
    x = 10,835,785,024.52/127,678.47
  6. Step 6: Final answer
    x = 84,867.75

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