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Finding the Fourth Proportional to 103,698.10, 155,374.35 and 97,477.30

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Solution

The fourth proportional to 103,698.10, 155,374.35 and 97,477.30 is: 146,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.10 : 155,374.35 = 97,477.30 : x
  2. Step 2: Convert to fraction form
    103,698.10/155,374.35 = 97,477.30/x
  3. Step 3: Cross multiply
    103,698.10x = 155,374.35 × 97,477.30
  4. Step 4: Simplify right side
    103,698.10x = 15,145,472,127.26
  5. Step 5: Solve for x
    x = 15,145,472,127.26/103,698.10
  6. Step 6: Final answer
    x = 146,053.52

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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.