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Finding the Fourth Proportional to 127,497.84, 175,953.24 and 70,908

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Solution

The fourth proportional to 127,497.84, 175,953.24 and 70,908 is: 97,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,497.84 : 175,953.24 = 70,908 : x
  2. Step 2: Convert to fraction form
    127,497.84/175,953.24 = 70,908/x
  3. Step 3: Cross multiply
    127,497.84x = 175,953.24 × 70,908
  4. Step 4: Simplify right side
    127,497.84x = 12,476,492,341.92
  5. Step 5: Solve for x
    x = 12,476,492,341.92/127,497.84
  6. Step 6: Final answer
    x = 97,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.