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Finding the Fourth Proportional to 116,280.51, 160,484.64 and 70,984.86

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Solution

The fourth proportional to 116,280.51, 160,484.64 and 70,984.86 is: 97,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,280.51 : 160,484.64 = 70,984.86 : x
  2. Step 2: Convert to fraction form
    116,280.51/160,484.64 = 70,984.86/x
  3. Step 3: Cross multiply
    116,280.51x = 160,484.64 × 70,984.86
  4. Step 4: Simplify right side
    116,280.51x = 11,391,979,702.55
  5. Step 5: Solve for x
    x = 11,391,979,702.55/116,280.51
  6. Step 6: Final answer
    x = 97,969.81

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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.