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Finding the Fourth Proportional to 111,407.16, 153,776.30 and 71,663.16

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Solution

The fourth proportional to 111,407.16, 153,776.30 and 71,663.16 is: 98,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,407.16 : 153,776.30 = 71,663.16 : x
  2. Step 2: Convert to fraction form
    111,407.16/153,776.30 = 71,663.16/x
  3. Step 3: Cross multiply
    111,407.16x = 153,776.30 × 71,663.16
  4. Step 4: Simplify right side
    111,407.16x = 11,020,095,591.11
  5. Step 5: Solve for x
    x = 11,020,095,591.11/111,407.16
  6. Step 6: Final answer
    x = 98,917.30

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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.