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Finding the Fourth Proportional to 111,290.42, 153,491.42 and 97,833.14

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Solution

The fourth proportional to 111,290.42, 153,491.42 and 97,833.14 is: 134,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,290.42 : 153,491.42 = 97,833.14 : x
  2. Step 2: Convert to fraction form
    111,290.42/153,491.42 = 97,833.14/x
  3. Step 3: Cross multiply
    111,290.42x = 153,491.42 × 97,833.14
  4. Step 4: Simplify right side
    111,290.42x = 15,016,547,581.66
  5. Step 5: Solve for x
    x = 15,016,547,581.66/111,290.42
  6. Step 6: Final answer
    x = 134,931.18

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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.