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Finding the Fourth Proportional to 210,852.33, 316,075.50 and 77,659.95

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Solution

The fourth proportional to 210,852.33, 316,075.50 and 77,659.95 is: 116,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852.33 : 316,075.50 = 77,659.95 : x
  2. Step 2: Convert to fraction form
    210,852.33/316,075.50 = 77,659.95/x
  3. Step 3: Cross multiply
    210,852.33x = 316,075.50 × 77,659.95
  4. Step 4: Simplify right side
    210,852.33x = 24,546,407,526.23
  5. Step 5: Solve for x
    x = 24,546,407,526.23/210,852.33
  6. Step 6: Final answer
    x = 116,415.16

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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.