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Finding the Fourth Proportional to 109,492.88, 164,547.12 and 65,127.68

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Solution

The fourth proportional to 109,492.88, 164,547.12 and 65,127.68 is: 97,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,492.88 : 164,547.12 = 65,127.68 : x
  2. Step 2: Convert to fraction form
    109,492.88/164,547.12 = 65,127.68/x
  3. Step 3: Cross multiply
    109,492.88x = 164,547.12 × 65,127.68
  4. Step 4: Simplify right side
    109,492.88x = 10,716,572,176.28
  5. Step 5: Solve for x
    x = 10,716,572,176.28/109,492.88
  6. Step 6: Final answer
    x = 97,874.60

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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.