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Finding the Fourth Proportional to 153,018.57, 229,509.57 and 40,707

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Solution

The fourth proportional to 153,018.57, 229,509.57 and 40,707 is: 61,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,018.57 : 229,509.57 = 40,707 : x
  2. Step 2: Convert to fraction form
    153,018.57/229,509.57 = 40,707/x
  3. Step 3: Cross multiply
    153,018.57x = 229,509.57 × 40,707
  4. Step 4: Simplify right side
    153,018.57x = 9,342,646,065.99
  5. Step 5: Solve for x
    x = 9,342,646,065.99/153,018.57
  6. Step 6: Final answer
    x = 61,055.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.