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Finding the Fourth Proportional to 210,075.45, 289,928.64 and 119,445

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Solution

The fourth proportional to 210,075.45, 289,928.64 and 119,445 is: 164,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,075.45 : 289,928.64 = 119,445 : x
  2. Step 2: Convert to fraction form
    210,075.45/289,928.64 = 119,445/x
  3. Step 3: Cross multiply
    210,075.45x = 289,928.64 × 119,445
  4. Step 4: Simplify right side
    210,075.45x = 34,630,526,404.80
  5. Step 5: Solve for x
    x = 34,630,526,404.80/210,075.45
  6. Step 6: Final answer
    x = 164,848.04

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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.