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Finding the Fourth Proportional to 102,407.10, 153,610.65 and 84,911.10

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Solution

The fourth proportional to 102,407.10, 153,610.65 and 84,911.10 is: 127,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.10 : 153,610.65 = 84,911.10 : x
  2. Step 2: Convert to fraction form
    102,407.10/153,610.65 = 84,911.10/x
  3. Step 3: Cross multiply
    102,407.10x = 153,610.65 × 84,911.10
  4. Step 4: Simplify right side
    102,407.10x = 13,043,249,263.22
  5. Step 5: Solve for x
    x = 13,043,249,263.22/102,407.10
  6. Step 6: Final answer
    x = 127,366.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.