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Finding the Fourth Proportional to 153,409.15, 211,711.74 and 85,430.51

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Solution

The fourth proportional to 153,409.15, 211,711.74 and 85,430.51 is: 117,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.15 : 211,711.74 = 85,430.51 : x
  2. Step 2: Convert to fraction form
    153,409.15/211,711.74 = 85,430.51/x
  3. Step 3: Cross multiply
    153,409.15x = 211,711.74 × 85,430.51
  4. Step 4: Simplify right side
    153,409.15x = 18,086,640,862.63
  5. Step 5: Solve for x
    x = 18,086,640,862.63/153,409.15
  6. Step 6: Final answer
    x = 117,898.06

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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.