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Finding the Fourth Proportional to 105,258.19, 145,254.60 and 57,510.51

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Solution

The fourth proportional to 105,258.19, 145,254.60 and 57,510.51 is: 79,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,258.19 : 145,254.60 = 57,510.51 : x
  2. Step 2: Convert to fraction form
    105,258.19/145,254.60 = 57,510.51/x
  3. Step 3: Cross multiply
    105,258.19x = 145,254.60 × 57,510.51
  4. Step 4: Simplify right side
    105,258.19x = 8,353,666,125.85
  5. Step 5: Solve for x
    x = 8,353,666,125.85/105,258.19
  6. Step 6: Final answer
    x = 79,363.57

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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.