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Finding the Fourth Proportional to 141,411.94, 211,831.46 and 65,402.50

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Solution

The fourth proportional to 141,411.94, 211,831.46 and 65,402.50 is: 97,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,411.94 : 211,831.46 = 65,402.50 : x
  2. Step 2: Convert to fraction form
    141,411.94/211,831.46 = 65,402.50/x
  3. Step 3: Cross multiply
    141,411.94x = 211,831.46 × 65,402.50
  4. Step 4: Simplify right side
    141,411.94x = 13,854,307,062.65
  5. Step 5: Solve for x
    x = 13,854,307,062.65/141,411.94
  6. Step 6: Final answer
    x = 97,971.27

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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.