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Finding the Fourth Proportional to 209,248, 314,010.24 and 98,448.64

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Solution

The fourth proportional to 209,248, 314,010.24 and 98,448.64 is: 147,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,248 : 314,010.24 = 98,448.64 : x
  2. Step 2: Convert to fraction form
    209,248/314,010.24 = 98,448.64/x
  3. Step 3: Cross multiply
    209,248x = 314,010.24 × 98,448.64
  4. Step 4: Simplify right side
    209,248x = 30,913,881,074.07
  5. Step 5: Solve for x
    x = 30,913,881,074.07/209,248
  6. Step 6: Final answer
    x = 147,738.00

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Why These Related Problems?

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