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Finding the Fourth Proportional to 105,752, 145,937.76 and 61,040

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Solution

The fourth proportional to 105,752, 145,937.76 and 61,040 is: 84,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752 : 145,937.76 = 61,040 : x
  2. Step 2: Convert to fraction form
    105,752/145,937.76 = 61,040/x
  3. Step 3: Cross multiply
    105,752x = 145,937.76 × 61,040
  4. Step 4: Simplify right side
    105,752x = 8,908,040,870.40
  5. Step 5: Solve for x
    x = 8,908,040,870.40/105,752
  6. Step 6: Final answer
    x = 84,235.20

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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.