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Finding the Fourth Proportional to 106,862.40, 147,405.88 and 70,564.18

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Solution

The fourth proportional to 106,862.40, 147,405.88 and 70,564.18 is: 97,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,862.40 : 147,405.88 = 70,564.18 : x
  2. Step 2: Convert to fraction form
    106,862.40/147,405.88 = 70,564.18/x
  3. Step 3: Cross multiply
    106,862.40x = 147,405.88 × 70,564.18
  4. Step 4: Simplify right side
    106,862.40x = 10,401,575,049.38
  5. Step 5: Solve for x
    x = 10,401,575,049.38/106,862.40
  6. Step 6: Final answer
    x = 97,336.15

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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.