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Finding the Fourth Proportional to 105,681.84, 145,840.95 and 57,934.17

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Solution

The fourth proportional to 105,681.84, 145,840.95 and 57,934.17 is: 79,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,681.84 : 145,840.95 = 57,934.17 : x
  2. Step 2: Convert to fraction form
    105,681.84/145,840.95 = 57,934.17/x
  3. Step 3: Cross multiply
    105,681.84x = 145,840.95 × 57,934.17
  4. Step 4: Simplify right side
    105,681.84x = 8,449,174,390.26
  5. Step 5: Solve for x
    x = 8,449,174,390.26/105,681.84
  6. Step 6: Final answer
    x = 79,949.16

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1.5x scale

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.