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Finding the Fourth Proportional to 130,417.36, 180,118.01 and 105,007.86

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Solution

The fourth proportional to 130,417.36, 180,118.01 and 105,007.86 is: 145,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,417.36 : 180,118.01 = 105,007.86 : x
  2. Step 2: Convert to fraction form
    130,417.36/180,118.01 = 105,007.86/x
  3. Step 3: Cross multiply
    130,417.36x = 180,118.01 × 105,007.86
  4. Step 4: Simplify right side
    130,417.36x = 18,913,807,040.08
  5. Step 5: Solve for x
    x = 18,913,807,040.08/130,417.36
  6. Step 6: Final answer
    x = 145,025.23

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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.