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Finding the Fourth Proportional to 116,274.58, 160,476.47 and 70,978.93

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Solution

The fourth proportional to 116,274.58, 160,476.47 and 70,978.93 is: 97,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,274.58 : 160,476.47 = 70,978.93 : x
  2. Step 2: Convert to fraction form
    116,274.58/160,476.47 = 70,978.93/x
  3. Step 3: Cross multiply
    116,274.58x = 160,476.47 × 70,978.93
  4. Step 4: Simplify right side
    116,274.58x = 11,390,448,130.78
  5. Step 5: Solve for x
    x = 11,390,448,130.78/116,274.58
  6. Step 6: Final answer
    x = 97,961.64

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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.