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Finding the Fourth Proportional to 152,585.64, 210,634.02 and 143,021.16

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Solution

The fourth proportional to 152,585.64, 210,634.02 and 143,021.16 is: 197,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,585.64 : 210,634.02 = 143,021.16 : x
  2. Step 2: Convert to fraction form
    152,585.64/210,634.02 = 143,021.16/x
  3. Step 3: Cross multiply
    152,585.64x = 210,634.02 × 143,021.16
  4. Step 4: Simplify right side
    152,585.64x = 30,125,121,875.86
  5. Step 5: Solve for x
    x = 30,125,121,875.86/152,585.64
  6. Step 6: Final answer
    x = 197,430.91

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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.