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Finding the Fourth Proportional to 97,878.90, 137,341.50 and 97,878.90

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Solution

The fourth proportional to 97,878.90, 137,341.50 and 97,878.90 is: 137,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,878.90 : 137,341.50 = 97,878.90 : x
  2. Step 2: Convert to fraction form
    97,878.90/137,341.50 = 97,878.90/x
  3. Step 3: Cross multiply
    97,878.90x = 137,341.50 × 97,878.90
  4. Step 4: Simplify right side
    97,878.90x = 13,442,834,944.35
  5. Step 5: Solve for x
    x = 13,442,834,944.35/97,878.90
  6. Step 6: Final answer
    x = 137,341.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.