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Finding the Fourth Proportional to 130,477.16, 180,041.64 and 76,742.57

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Solution

The fourth proportional to 130,477.16, 180,041.64 and 76,742.57 is: 105,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.16 : 180,041.64 = 76,742.57 : x
  2. Step 2: Convert to fraction form
    130,477.16/180,041.64 = 76,742.57/x
  3. Step 3: Cross multiply
    130,477.16x = 180,041.64 × 76,742.57
  4. Step 4: Simplify right side
    130,477.16x = 13,816,858,160.61
  5. Step 5: Solve for x
    x = 13,816,858,160.61/130,477.16
  6. Step 6: Final answer
    x = 105,894.84

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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.