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Finding the Fourth Proportional to 102,434.68, 153,547.48 and 65,022.40

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Solution

The fourth proportional to 102,434.68, 153,547.48 and 65,022.40 is: 97,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434.68 : 153,547.48 = 65,022.40 : x
  2. Step 2: Convert to fraction form
    102,434.68/153,547.48 = 65,022.40/x
  3. Step 3: Cross multiply
    102,434.68x = 153,547.48 × 65,022.40
  4. Step 4: Simplify right side
    102,434.68x = 9,984,025,663.55
  5. Step 5: Solve for x
    x = 9,984,025,663.55/102,434.68
  6. Step 6: Final answer
    x = 97,467.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.