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Finding the Fourth Proportional to 105,798.63, 158,661.03 and 46,602

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Solution

The fourth proportional to 105,798.63, 158,661.03 and 46,602 is: 69,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.63 : 158,661.03 = 46,602 : x
  2. Step 2: Convert to fraction form
    105,798.63/158,661.03 = 46,602/x
  3. Step 3: Cross multiply
    105,798.63x = 158,661.03 × 46,602
  4. Step 4: Simplify right side
    105,798.63x = 7,393,921,320.06
  5. Step 5: Solve for x
    x = 7,393,921,320.06/105,798.63
  6. Step 6: Final answer
    x = 69,886.74

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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.