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Finding the Fourth Proportional to 105,312.40, 157,661.40 and 102,240.40

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Solution

The fourth proportional to 105,312.40, 157,661.40 and 102,240.40 is: 153,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312.40 : 157,661.40 = 102,240.40 : x
  2. Step 2: Convert to fraction form
    105,312.40/157,661.40 = 102,240.40/x
  3. Step 3: Cross multiply
    105,312.40x = 157,661.40 × 102,240.40
  4. Step 4: Simplify right side
    105,312.40x = 16,119,364,600.56
  5. Step 5: Solve for x
    x = 16,119,364,600.56/105,312.40
  6. Step 6: Final answer
    x = 153,062.36

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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.