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Finding the Fourth Proportional to 211,465.98, 291,831.48 and 115,976.16

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Solution

The fourth proportional to 211,465.98, 291,831.48 and 115,976.16 is: 160,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,465.98 : 291,831.48 = 115,976.16 : x
  2. Step 2: Convert to fraction form
    211,465.98/291,831.48 = 115,976.16/x
  3. Step 3: Cross multiply
    211,465.98x = 291,831.48 × 115,976.16
  4. Step 4: Simplify right side
    211,465.98x = 33,845,494,417.52
  5. Step 5: Solve for x
    x = 33,845,494,417.52/211,465.98
  6. Step 6: Final answer
    x = 160,051.72

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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.