Finding the Fourth Proportional to 208,646.76, 312,970.14 and 97,812.84
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Solution
The fourth proportional to 208,646.76, 312,970.14 and 97,812.84 is: 146,719.26
Step by Step Solution
- Step 1: Write the proportion equation
208,646.76 : 312,970.14 = 97,812.84 : x - Step 2: Convert to fraction form
208,646.76/312,970.14 = 97,812.84/x - Step 3: Cross multiply
208,646.76x = 312,970.14 × 97,812.84 - Step 4: Simplify right side
208,646.76x = 30,612,498,228.60 - Step 5: Solve for x
x = 30,612,498,228.60/208,646.76 - Step 6: Final answer
x = 146,719.26
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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.