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Finding the Fourth Proportional to 127,031.40, 175,314.10 and 70,461

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Solution

The fourth proportional to 127,031.40, 175,314.10 and 70,461 is: 97,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,031.40 : 175,314.10 = 70,461 : x
  2. Step 2: Convert to fraction form
    127,031.40/175,314.10 = 70,461/x
  3. Step 3: Cross multiply
    127,031.40x = 175,314.10 × 70,461
  4. Step 4: Simplify right side
    127,031.40x = 12,352,806,800.10
  5. Step 5: Solve for x
    x = 12,352,806,800.10/127,031.40
  6. Step 6: Final answer
    x = 97,242.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.