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Finding the Fourth Proportional to 176,140.40, 264,210.60 and 97,408.40

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Solution

The fourth proportional to 176,140.40, 264,210.60 and 97,408.40 is: 146,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,140.40 : 264,210.60 = 97,408.40 : x
  2. Step 2: Convert to fraction form
    176,140.40/264,210.60 = 97,408.40/x
  3. Step 3: Cross multiply
    176,140.40x = 264,210.60 × 97,408.40
  4. Step 4: Simplify right side
    176,140.40x = 25,736,331,809.04
  5. Step 5: Solve for x
    x = 25,736,331,809.04/176,140.40
  6. Step 6: Final answer
    x = 146,112.60

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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.