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Finding the Fourth Proportional to 209,362.68, 314,075.15 and 97,054.25

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Solution

The fourth proportional to 209,362.68, 314,075.15 and 97,054.25 is: 145,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,362.68 : 314,075.15 = 97,054.25 : x
  2. Step 2: Convert to fraction form
    209,362.68/314,075.15 = 97,054.25/x
  3. Step 3: Cross multiply
    209,362.68x = 314,075.15 × 97,054.25
  4. Step 4: Simplify right side
    209,362.68x = 30,482,328,912.08
  5. Step 5: Solve for x
    x = 30,482,328,912.08/209,362.68
  6. Step 6: Final answer
    x = 145,595.81

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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.